Assume the original equity investors $($preferred $90\%$ and sponsor $10\%)$ have been paid in full $($i$.$e$.,$ their initial investments of $$486,400$ and $$54,044$ have been distributed, respectively$)$ and that $$262,704$ is still available to be distributed. The partnership agreement calls for the distribution to be made pro rata pari passu until the preferred partner reaches a return of $7\mathrm{.}5\%.$ Further assume the sponsor made an initial investment of $-486,400$ in year $0$; and received distributions of $$37,719$ in year $1$; $$37,719$ in year $2$; $$37,719$ in year $3$; and $$373,244$ in year $4$ when the property was sold. What dollar amount is required to be distributed to the preferred partner in year $4$ to achieve her preferred return of $7\mathrm{.}5\%?$

Group of answer choices

$$108,825$

$$140,000$

$$145,333$

$$120,000$