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Finding the Fourth Proportional to 148,378.34, 204,761.83 and 80,397.16

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Solution

The fourth proportional to 148,378.34, 204,761.83 and 80,397.16 is: 110,947.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,378.34 : 204,761.83 = 80,397.16 : x
  2. Step 2: Convert to fraction form
    148,378.34/204,761.83 = 80,397.16/x
  3. Step 3: Cross multiply
    148,378.34x = 204,761.83 × 80,397.16
  4. Step 4: Simplify right side
    148,378.34x = 16,462,268,182.61
  5. Step 5: Solve for x
    x = 16,462,268,182.61/148,378.34
  6. Step 6: Final answer
    x = 110,947.92

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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.