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Finding the Fourth Proportional to 252,138.40, 378,380.40 and 111,997.60

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Solution

The fourth proportional to 252,138.40, 378,380.40 and 111,997.60 is: 168,073.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,138.40 : 378,380.40 = 111,997.60 : x
  2. Step 2: Convert to fraction form
    252,138.40/378,380.40 = 111,997.60/x
  3. Step 3: Cross multiply
    252,138.40x = 378,380.40 × 111,997.60
  4. Step 4: Simplify right side
    252,138.40x = 42,377,696,687.04
  5. Step 5: Solve for x
    x = 42,377,696,687.04/252,138.40
  6. Step 6: Final answer
    x = 168,073.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.