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Finding the Fourth Proportional to 198,863.12, 274,428.24 and 109,439.12

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Solution

The fourth proportional to 198,863.12, 274,428.24 and 109,439.12 is: 151,024.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,863.12 : 274,428.24 = 109,439.12 : x
  2. Step 2: Convert to fraction form
    198,863.12/274,428.24 = 109,439.12/x
  3. Step 3: Cross multiply
    198,863.12x = 274,428.24 × 109,439.12
  4. Step 4: Simplify right side
    198,863.12x = 30,033,183,716.61
  5. Step 5: Solve for x
    x = 30,033,183,716.61/198,863.12
  6. Step 6: Final answer
    x = 151,024.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.