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Finding the Fourth Proportional to 232,082.20, 347,864.10 and 132,290.20

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Solution

The fourth proportional to 232,082.20, 347,864.10 and 132,290.20 is: 198,287.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,082.20 : 347,864.10 = 132,290.20 : x
  2. Step 2: Convert to fraction form
    232,082.20/347,864.10 = 132,290.20/x
  3. Step 3: Cross multiply
    232,082.20x = 347,864.10 × 132,290.20
  4. Step 4: Simplify right side
    232,082.20x = 46,019,011,361.82
  5. Step 5: Solve for x
    x = 46,019,011,361.82/232,082.20
  6. Step 6: Final answer
    x = 198,287.55

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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.