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Finding the Fourth Proportional to 224,928.82, 337,354.35 and 67,114.90

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Solution

The fourth proportional to 224,928.82, 337,354.35 and 67,114.90 is: 100,660.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,928.82 : 337,354.35 = 67,114.90 : x
  2. Step 2: Convert to fraction form
    224,928.82/337,354.35 = 67,114.90/x
  3. Step 3: Cross multiply
    224,928.82x = 337,354.35 × 67,114.90
  4. Step 4: Simplify right side
    224,928.82x = 22,641,503,464.82
  5. Step 5: Solve for x
    x = 22,641,503,464.82/224,928.82
  6. Step 6: Final answer
    x = 100,660.75

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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.