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Finding the Fourth Proportional to 224,809.20, 337,165.20 and 98,449.20

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Solution

The fourth proportional to 224,809.20, 337,165.20 and 98,449.20 is: 147,652.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,809.20 : 337,165.20 = 98,449.20 : x
  2. Step 2: Convert to fraction form
    224,809.20/337,165.20 = 98,449.20/x
  3. Step 3: Cross multiply
    224,809.20x = 337,165.20 × 98,449.20
  4. Step 4: Simplify right side
    224,809.20x = 33,193,644,207.84
  5. Step 5: Solve for x
    x = 33,193,644,207.84/224,809.20
  6. Step 6: Final answer
    x = 147,652.52

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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.