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Finding the Fourth Proportional to 224,429.38, 309,712.55 and 123,827.38

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Solution

The fourth proportional to 224,429.38, 309,712.55 and 123,827.38 is: 170,881.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,429.38 : 309,712.55 = 123,827.38 : x
  2. Step 2: Convert to fraction form
    224,429.38/309,712.55 = 123,827.38/x
  3. Step 3: Cross multiply
    224,429.38x = 309,712.55 × 123,827.38
  4. Step 4: Simplify right side
    224,429.38x = 38,350,891,451.92
  5. Step 5: Solve for x
    x = 38,350,891,451.92/224,429.38
  6. Step 6: Final answer
    x = 170,881.78

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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.