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Finding the Fourth Proportional to 148,497.87, 204,926.95 and 80,517.10

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Solution

The fourth proportional to 148,497.87, 204,926.95 and 80,517.10 is: 111,113.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,497.87 : 204,926.95 = 80,517.10 : x
  2. Step 2: Convert to fraction form
    148,497.87/204,926.95 = 80,517.10/x
  3. Step 3: Cross multiply
    148,497.87x = 204,926.95 × 80,517.10
  4. Step 4: Simplify right side
    148,497.87x = 16,500,123,725.85
  5. Step 5: Solve for x
    x = 16,500,123,725.85/148,497.87
  6. Step 6: Final answer
    x = 111,113.54

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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.