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Finding the Fourth Proportional to 492,735.10, 739,102.65 and 137,748.55

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Solution

The fourth proportional to 492,735.10, 739,102.65 and 137,748.55 is: 206,622.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,735.10 : 739,102.65 = 137,748.55 : x
  2. Step 2: Convert to fraction form
    492,735.10/739,102.65 = 137,748.55/x
  3. Step 3: Cross multiply
    492,735.10x = 739,102.65 × 137,748.55
  4. Step 4: Simplify right side
    492,735.10x = 101,810,318,338.66
  5. Step 5: Solve for x
    x = 101,810,318,338.66/492,735.10
  6. Step 6: Final answer
    x = 206,622.83

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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.