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Finding the Fourth Proportional to 149,847.29, 206,793.32 and 89,452.98

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Solution

The fourth proportional to 149,847.29, 206,793.32 and 89,452.98 is: 123,447.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,847.29 : 206,793.32 = 89,452.98 : x
  2. Step 2: Convert to fraction form
    149,847.29/206,793.32 = 89,452.98/x
  3. Step 3: Cross multiply
    149,847.29x = 206,793.32 × 89,452.98
  4. Step 4: Simplify right side
    149,847.29x = 18,498,278,270.83
  5. Step 5: Solve for x
    x = 18,498,278,270.83/149,847.29
  6. Step 6: Final answer
    x = 123,447.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.