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Finding the Fourth Proportional to 148,104.12, 204,382.85 and 80,120.90

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Solution

The fourth proportional to 148,104.12, 204,382.85 and 80,120.90 is: 110,566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,104.12 : 204,382.85 = 80,120.90 : x
  2. Step 2: Convert to fraction form
    148,104.12/204,382.85 = 80,120.90/x
  3. Step 3: Cross multiply
    148,104.12x = 204,382.85 × 80,120.90
  4. Step 4: Simplify right side
    148,104.12x = 16,375,336,847.26
  5. Step 5: Solve for x
    x = 16,375,336,847.26/148,104.12
  6. Step 6: Final answer
    x = 110,566.38

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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.