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Finding the Fourth Proportional to 129,497.60, 178,706.04 and 72,909.38

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Solution

The fourth proportional to 129,497.60, 178,706.04 and 72,909.38 is: 100,614.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,497.60 : 178,706.04 = 72,909.38 : x
  2. Step 2: Convert to fraction form
    129,497.60/178,706.04 = 72,909.38/x
  3. Step 3: Cross multiply
    129,497.60x = 178,706.04 × 72,909.38
  4. Step 4: Simplify right side
    129,497.60x = 13,029,346,578.66
  5. Step 5: Solve for x
    x = 13,029,346,578.66/129,497.60
  6. Step 6: Final answer
    x = 100,614.58

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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.