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Finding the Fourth Proportional to 148,114.38, 204,396.98 and 80,131.16

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Solution

The fourth proportional to 148,114.38, 204,396.98 and 80,131.16 is: 110,580.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,114.38 : 204,396.98 = 80,131.16 : x
  2. Step 2: Convert to fraction form
    148,114.38/204,396.98 = 80,131.16/x
  3. Step 3: Cross multiply
    148,114.38x = 204,396.98 × 80,131.16
  4. Step 4: Simplify right side
    148,114.38x = 16,378,567,107.90
  5. Step 5: Solve for x
    x = 16,378,567,107.90/148,114.38
  6. Step 6: Final answer
    x = 110,580.53

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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.