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Finding the Fourth Proportional to 186,595.94, 257,502.42 and 101,713.01

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Solution

The fourth proportional to 186,595.94, 257,502.42 and 101,713.01 is: 140,363.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,595.94 : 257,502.42 = 101,713.01 : x
  2. Step 2: Convert to fraction form
    186,595.94/257,502.42 = 101,713.01/x
  3. Step 3: Cross multiply
    186,595.94x = 257,502.42 × 101,713.01
  4. Step 4: Simplify right side
    186,595.94x = 26,191,344,932.97
  5. Step 5: Solve for x
    x = 26,191,344,932.97/186,595.94
  6. Step 6: Final answer
    x = 140,363.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.