John House has taken a $20-$year, $$250,000$ mortgage on his house at an interest rate of $6$ percent per year. What is the remaining balance $($or value$)$ of the mortgage after the payment of the fifth annual installment?

Group of answer choices

$$128,958\mathrm{.}41$

$$211,689\mathrm{.}53$

$$248,719\mathrm{.}21$

$$141,019\mathrm{.}50$