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Finding the Fourth Proportional to 224,919.52, 310,389.24 and 129,424.30

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Solution

The fourth proportional to 224,919.52, 310,389.24 and 129,424.30 is: 178,605.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,919.52 : 310,389.24 = 129,424.30 : x
  2. Step 2: Convert to fraction form
    224,919.52/310,389.24 = 129,424.30/x
  3. Step 3: Cross multiply
    224,919.52x = 310,389.24 × 129,424.30
  4. Step 4: Simplify right side
    224,919.52x = 40,171,910,114.53
  5. Step 5: Solve for x
    x = 40,171,910,114.53/224,919.52
  6. Step 6: Final answer
    x = 178,605.71

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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.