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Finding the Fourth Proportional to 102,382.52, 141,359.85 and 71,820.54

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Solution

The fourth proportional to 102,382.52, 141,359.85 and 71,820.54 is: 99,162.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,382.52 : 141,359.85 = 71,820.54 : x
  2. Step 2: Convert to fraction form
    102,382.52/141,359.85 = 71,820.54/x
  3. Step 3: Cross multiply
    102,382.52x = 141,359.85 × 71,820.54
  4. Step 4: Simplify right side
    102,382.52x = 10,152,540,761.32
  5. Step 5: Solve for x
    x = 10,152,540,761.32/102,382.52
  6. Step 6: Final answer
    x = 99,162.84

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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.