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Finding the Fourth Proportional to 138,194.89, 206,960.15 and 78,850.65

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Solution

The fourth proportional to 138,194.89, 206,960.15 and 78,850.65 is: 118,086.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,194.89 : 206,960.15 = 78,850.65 : x
  2. Step 2: Convert to fraction form
    138,194.89/206,960.15 = 78,850.65/x
  3. Step 3: Cross multiply
    138,194.89x = 206,960.15 × 78,850.65
  4. Step 4: Simplify right side
    138,194.89x = 16,318,942,351.60
  5. Step 5: Solve for x
    x = 16,318,942,351.60/138,194.89
  6. Step 6: Final answer
    x = 118,086.44

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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.