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Finding the Fourth Proportional to 129,086.43, 178,155.99 and 72,497.82

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Solution

The fourth proportional to 129,086.43, 178,155.99 and 72,497.82 is: 100,056.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,086.43 : 178,155.99 = 72,497.82 : x
  2. Step 2: Convert to fraction form
    129,086.43/178,155.99 = 72,497.82/x
  3. Step 3: Cross multiply
    129,086.43x = 178,155.99 × 72,497.82
  4. Step 4: Simplify right side
    129,086.43x = 12,915,920,894.94
  5. Step 5: Solve for x
    x = 12,915,920,894.94/129,086.43
  6. Step 6: Final answer
    x = 100,056.38

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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.