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Finding the Fourth Proportional to 186,489.31, 257,355.27 and 101,606.38

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Solution

The fourth proportional to 186,489.31, 257,355.27 and 101,606.38 is: 140,216.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,489.31 : 257,355.27 = 101,606.38 : x
  2. Step 2: Convert to fraction form
    186,489.31/257,355.27 = 101,606.38/x
  3. Step 3: Cross multiply
    186,489.31x = 257,355.27 × 101,606.38
  4. Step 4: Simplify right side
    186,489.31x = 26,148,937,358.62
  5. Step 5: Solve for x
    x = 26,148,937,358.62/186,489.31
  6. Step 6: Final answer
    x = 140,216.82

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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.