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Finding the Fourth Proportional to 120,757.68, 181,078.26 and 50,618.16

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Solution

The fourth proportional to 120,757.68, 181,078.26 and 50,618.16 is: 75,902.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,757.68 : 181,078.26 = 50,618.16 : x
  2. Step 2: Convert to fraction form
    120,757.68/181,078.26 = 50,618.16/x
  3. Step 3: Cross multiply
    120,757.68x = 181,078.26 × 50,618.16
  4. Step 4: Simplify right side
    120,757.68x = 9,165,848,337.20
  5. Step 5: Solve for x
    x = 9,165,848,337.20/120,757.68
  6. Step 6: Final answer
    x = 75,902.82

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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.