Sage Hill Company purchased a machine at a price of $$104,000$ by signing a note payable, which requires a single payment of $$138,424$ in $3$ years.What would be the purchase price of the machine had Sage Hill negotiated a single payment of $$120,000$ in $3$ years, using the same effective rate? To calculate, use $(1)$ a financial calculator or $(2)$ Excel function PV$.($Round answer to $2$ decimal places, e$.$g$.5,275\mathrm{.}25.)$