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Finding the Fourth Proportional to 138,813.38, 191,562.53 and 75,151.19

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Solution

The fourth proportional to 138,813.38, 191,562.53 and 75,151.19 is: 103,708.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,813.38 : 191,562.53 = 75,151.19 : x
  2. Step 2: Convert to fraction form
    138,813.38/191,562.53 = 75,151.19/x
  3. Step 3: Cross multiply
    138,813.38x = 191,562.53 × 75,151.19
  4. Step 4: Simplify right side
    138,813.38x = 14,396,152,088.91
  5. Step 5: Solve for x
    x = 14,396,152,088.91/138,813.38
  6. Step 6: Final answer
    x = 103,708.68

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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.