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Finding the Fourth Proportional to 132,382.71, 198,511.70 and 48,083.43

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Solution

The fourth proportional to 132,382.71, 198,511.70 and 48,083.43 is: 72,102.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,382.71 : 198,511.70 = 48,083.43 : x
  2. Step 2: Convert to fraction form
    132,382.71/198,511.70 = 48,083.43/x
  3. Step 3: Cross multiply
    132,382.71x = 198,511.70 × 48,083.43
  4. Step 4: Simplify right side
    132,382.71x = 9,545,123,190.71
  5. Step 5: Solve for x
    x = 9,545,123,190.71/132,382.71
  6. Step 6: Final answer
    x = 72,102.49

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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.