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Finding the Fourth Proportional to 129,712.38, 178,995.36 and 75,260.33

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Solution

The fourth proportional to 129,712.38, 178,995.36 and 75,260.33 is: 103,854.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,712.38 : 178,995.36 = 75,260.33 : x
  2. Step 2: Convert to fraction form
    129,712.38/178,995.36 = 75,260.33/x
  3. Step 3: Cross multiply
    129,712.38x = 178,995.36 × 75,260.33
  4. Step 4: Simplify right side
    129,712.38x = 13,471,249,920.55
  5. Step 5: Solve for x
    x = 13,471,249,920.55/129,712.38
  6. Step 6: Final answer
    x = 103,854.78

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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.