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Finding the Fourth Proportional to 138,193.89, 206,958.65 and 78,849.65

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Solution

The fourth proportional to 138,193.89, 206,958.65 and 78,849.65 is: 118,084.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,193.89 : 206,958.65 = 78,849.65 : x
  2. Step 2: Convert to fraction form
    138,193.89/206,958.65 = 78,849.65/x
  3. Step 3: Cross multiply
    138,193.89x = 206,958.65 × 78,849.65
  4. Step 4: Simplify right side
    138,193.89x = 16,318,616,082.18
  5. Step 5: Solve for x
    x = 16,318,616,082.18/138,193.89
  6. Step 6: Final answer
    x = 118,084.93

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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.