Estimate the value that should replace the question mark (?) in the mathematical statement below:

$\sqrt[3]{2196.903}÷\sqrt{1520.960}\times 3.102+?=143.991$

The correct option is 143.

Given the mathematical statement:

$\sqrt[3]{2196.903}÷\sqrt{1520.960}\times 3.102+?=143.991$

To estimate the value that should replace the question mark (?), we approximate each term in the expression to its nearest integer or simplified decimal value:

- $\sqrt[3]{2196.903}\approx \sqrt[3]{2197}=13$ (since 13³ = 2197)
- $\sqrt{1520.960}\approx \sqrt{1521}=39$ (since 39² = 1521)
- $3.102\approx 3.1$
- $143.991\approx 144$

Substitute these approximate values into the equation:

$13÷39\times 3.1+?=144$

Simplify step-by-step:

$\left(\frac{13}{39}\right)\times 3.1+?=144$

$\left(\frac{1}{3}\right)\times 3.1+?=144$

$1.033+?=144$

$?=144-1.033$

$?=142.967\approx 143$

Thus, the estimated value that should replace the question mark (?) is 143.