On January $1,2024,$ a company adopted the dollar$-$value LIFO method. The inventory cost on this date was $$100,000.$ The ending inventory, valued at year$-$end costs, and the relative cost index for each of the next three years is below:

$\backslash$table$[[$Year$-$End,$\backslash$table$[[$Ending Inventory at$],[$Year$-$End Costs$]],$Cost Index$],[2024,$$$126,000,1\mathrm{.}05],[2025,143,000,1\mathrm{.}10],[2026,153,600,1\mathrm{.}20]]$

What inventory balance would the company report on its $12/31/2026$ balance sheet?

Multiple Choice

$$128,000$

$$129,800$

$$153,600$

None of the other answer choices are correct.