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Finding the Fourth Proportional to 224,996.86, 337,328.16 and 136,229.14

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Solution

The fourth proportional to 224,996.86, 337,328.16 and 136,229.14 is: 204,242.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,996.86 : 337,328.16 = 136,229.14 : x
  2. Step 2: Convert to fraction form
    224,996.86/337,328.16 = 136,229.14/x
  3. Step 3: Cross multiply
    224,996.86x = 337,328.16 × 136,229.14
  4. Step 4: Simplify right side
    224,996.86x = 45,953,925,134.58
  5. Step 5: Solve for x
    x = 45,953,925,134.58/224,996.86
  6. Step 6: Final answer
    x = 204,242.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.