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Finding the Fourth Proportional to 224,404.24, 309,691.20 and 128,908.48

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Solution

The fourth proportional to 224,404.24, 309,691.20 and 128,908.48 is: 177,901.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,404.24 : 309,691.20 = 128,908.48 : x
  2. Step 2: Convert to fraction form
    224,404.24/309,691.20 = 128,908.48/x
  3. Step 3: Cross multiply
    224,404.24x = 309,691.20 × 128,908.48
  4. Step 4: Simplify right side
    224,404.24x = 39,921,821,861.38
  5. Step 5: Solve for x
    x = 39,921,821,861.38/224,404.24
  6. Step 6: Final answer
    x = 177,901.37

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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.