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Finding the Fourth Proportional to 175,781.76, 242,593.83 and 99,314.97

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Solution

The fourth proportional to 175,781.76, 242,593.83 and 99,314.97 is: 137,063.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,781.76 : 242,593.83 = 99,314.97 : x
  2. Step 2: Convert to fraction form
    175,781.76/242,593.83 = 99,314.97/x
  3. Step 3: Cross multiply
    175,781.76x = 242,593.83 × 99,314.97
  4. Step 4: Simplify right side
    175,781.76x = 24,093,198,948.64
  5. Step 5: Solve for x
    x = 24,093,198,948.64/175,781.76
  6. Step 6: Final answer
    x = 137,063.13

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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.