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Finding the Fourth Proportional to 148,098.68, 204,375.25 and 80,115.38

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Solution

The fourth proportional to 148,098.68, 204,375.25 and 80,115.38 is: 110,558.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,098.68 : 204,375.25 = 80,115.38 : x
  2. Step 2: Convert to fraction form
    148,098.68/204,375.25 = 80,115.38/x
  3. Step 3: Cross multiply
    148,098.68x = 204,375.25 × 80,115.38
  4. Step 4: Simplify right side
    148,098.68x = 16,373,600,661.02
  5. Step 5: Solve for x
    x = 16,373,600,661.02/148,098.68
  6. Step 6: Final answer
    x = 110,558.72

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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.