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Finding the Fourth Proportional to 224,837.30, 337,422.28 and 106,508.90

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Solution

The fourth proportional to 224,837.30, 337,422.28 and 106,508.90 is: 159,842.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,837.30 : 337,422.28 = 106,508.90 : x
  2. Step 2: Convert to fraction form
    224,837.30/337,422.28 = 106,508.90/x
  3. Step 3: Cross multiply
    224,837.30x = 337,422.28 × 106,508.90
  4. Step 4: Simplify right side
    224,837.30x = 35,938,475,878.29
  5. Step 5: Solve for x
    x = 35,938,475,878.29/224,837.30
  6. Step 6: Final answer
    x = 159,842.14

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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.