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Finding the Fourth Proportional to 148,306.29, 204,661.64 and 80,321.70

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Solution

The fourth proportional to 148,306.29, 204,661.64 and 80,321.70 is: 110,843.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,306.29 : 204,661.64 = 80,321.70 : x
  2. Step 2: Convert to fraction form
    148,306.29/204,661.64 = 80,321.70/x
  3. Step 3: Cross multiply
    148,306.29x = 204,661.64 × 80,321.70
  4. Step 4: Simplify right side
    148,306.29x = 16,438,770,447.98
  5. Step 5: Solve for x
    x = 16,438,770,447.98/148,306.29
  6. Step 6: Final answer
    x = 110,843.38

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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.