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Finding the Fourth Proportional to 224,066.38, 309,207.68 and 122,092.70

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Solution

The fourth proportional to 224,066.38, 309,207.68 and 122,092.70 is: 168,485.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,066.38 : 309,207.68 = 122,092.70 : x
  2. Step 2: Convert to fraction form
    224,066.38/309,207.68 = 122,092.70/x
  3. Step 3: Cross multiply
    224,066.38x = 309,207.68 × 122,092.70
  4. Step 4: Simplify right side
    224,066.38x = 37,752,000,511.94
  5. Step 5: Solve for x
    x = 37,752,000,511.94/224,066.38
  6. Step 6: Final answer
    x = 168,485.79

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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.