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Finding the Fourth Proportional to 149,385.86, 206,149.82 and 81,403.42

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Solution

The fourth proportional to 149,385.86, 206,149.82 and 81,403.42 is: 112,335.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,385.86 : 206,149.82 = 81,403.42 : x
  2. Step 2: Convert to fraction form
    149,385.86/206,149.82 = 81,403.42/x
  3. Step 3: Cross multiply
    149,385.86x = 206,149.82 × 81,403.42
  4. Step 4: Simplify right side
    149,385.86x = 16,781,300,380.38
  5. Step 5: Solve for x
    x = 16,781,300,380.38/149,385.86
  6. Step 6: Final answer
    x = 112,335.27

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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.