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Finding the Fourth Proportional to 120,753.92, 181,262.10 and 102,120.68

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Solution

The fourth proportional to 120,753.92, 181,262.10 and 102,120.68 is: 153,291.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,753.92 : 181,262.10 = 102,120.68 : x
  2. Step 2: Convert to fraction form
    120,753.92/181,262.10 = 102,120.68/x
  3. Step 3: Cross multiply
    120,753.92x = 181,262.10 × 102,120.68
  4. Step 4: Simplify right side
    120,753.92x = 18,510,608,003.92
  5. Step 5: Solve for x
    x = 18,510,608,003.92/120,753.92
  6. Step 6: Final answer
    x = 153,291.99

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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.