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Finding the Fourth Proportional to 205,470.78, 283,730.29 and 129,122.61

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Solution

The fourth proportional to 205,470.78, 283,730.29 and 129,122.61 is: 178,302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,470.78 : 283,730.29 = 129,122.61 : x
  2. Step 2: Convert to fraction form
    205,470.78/283,730.29 = 129,122.61/x
  3. Step 3: Cross multiply
    205,470.78x = 283,730.29 × 129,122.61
  4. Step 4: Simplify right side
    205,470.78x = 36,635,994,920.38
  5. Step 5: Solve for x
    x = 36,635,994,920.38/205,470.78
  6. Step 6: Final answer
    x = 178,302.70

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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.