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Finding the Fourth Proportional to 224,691.31, 309,546.60 and 156,584.48

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Solution

The fourth proportional to 224,691.31, 309,546.60 and 156,584.48 is: 215,719.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,691.31 : 309,546.60 = 156,584.48 : x
  2. Step 2: Convert to fraction form
    224,691.31/309,546.60 = 156,584.48/x
  3. Step 3: Cross multiply
    224,691.31x = 309,546.60 × 156,584.48
  4. Step 4: Simplify right side
    224,691.31x = 48,470,193,396.77
  5. Step 5: Solve for x
    x = 48,470,193,396.77/224,691.31
  6. Step 6: Final answer
    x = 215,719.04

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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.