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Finding the Fourth Proportional to 129,394.38, 178,565.64 and 71,257.70

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Solution

The fourth proportional to 129,394.38, 178,565.64 and 71,257.70 is: 98,336.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,394.38 : 178,565.64 = 71,257.70 : x
  2. Step 2: Convert to fraction form
    129,394.38/178,565.64 = 71,257.70/x
  3. Step 3: Cross multiply
    129,394.38x = 178,565.64 × 71,257.70
  4. Step 4: Simplify right side
    129,394.38x = 12,724,176,805.43
  5. Step 5: Solve for x
    x = 12,724,176,805.43/129,394.38
  6. Step 6: Final answer
    x = 98,336.39

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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.