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Finding the Fourth Proportional to 224,714.43, 337,072.90 and 74,954.30

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Solution

The fourth proportional to 224,714.43, 337,072.90 and 74,954.30 is: 112,431.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,714.43 : 337,072.90 = 74,954.30 : x
  2. Step 2: Convert to fraction form
    224,714.43/337,072.90 = 74,954.30/x
  3. Step 3: Cross multiply
    224,714.43x = 337,072.90 × 74,954.30
  4. Step 4: Simplify right side
    224,714.43x = 25,265,063,268.47
  5. Step 5: Solve for x
    x = 25,265,063,268.47/224,714.43
  6. Step 6: Final answer
    x = 112,431.87

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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.