16 Pa. Stat. § 2174
The county commissioners shall pay monthly to the Department of Human Services, as such county commissioners payment for assistance, the amount expended by the department during the preceding month as assistance on behalf of patients receiving public nursing home care in a county medical institution, and on behalf of children in foster family homes and child-caring institutions, plus the cost of administering such assistance, minus the amount of Federal funds properly received or to be received by the Department of Human Services on account of such expenditures increased or reduced, as the case may be, by any amount by which the sum paid for any previous month differed from the amount which should have been paid for such previous month and by the proportionate share of refunds of such assistance as provided in the act of June 13, 1967 ( P.L. 31, No.21), known as the "Human Services Code." The Department of Human Services shall certify to the county commissioners the amount to be paid by them to the department.
16 P.S. § 2174