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Finding the Fourth Proportional to 232,294.14, 348,441.27 and 66,082.14

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Solution

The fourth proportional to 232,294.14, 348,441.27 and 66,082.14 is: 99,123.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,294.14 : 348,441.27 = 66,082.14 : x
  2. Step 2: Convert to fraction form
    232,294.14/348,441.27 = 66,082.14/x
  3. Step 3: Cross multiply
    232,294.14x = 348,441.27 × 66,082.14
  4. Step 4: Simplify right side
    232,294.14x = 23,025,744,785.92
  5. Step 5: Solve for x
    x = 23,025,744,785.92/232,294.14
  6. Step 6: Final answer
    x = 99,123.23

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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.