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Finding the Fourth Proportional to 137,231.80, 205,847.70 and 81,098.80

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Solution

The fourth proportional to 137,231.80, 205,847.70 and 81,098.80 is: 121,648.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,231.80 : 205,847.70 = 81,098.80 : x
  2. Step 2: Convert to fraction form
    137,231.80/205,847.70 = 81,098.80/x
  3. Step 3: Cross multiply
    137,231.80x = 205,847.70 × 81,098.80
  4. Step 4: Simplify right side
    137,231.80x = 16,694,001,452.76
  5. Step 5: Solve for x
    x = 16,694,001,452.76/137,231.80
  6. Step 6: Final answer
    x = 121,648.20

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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.