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Finding the Fourth Proportional to 120,878.91, 181,337.81 and 50,778.27

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Solution

The fourth proportional to 120,878.91, 181,337.81 and 50,778.27 is: 76,175.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,878.91 : 181,337.81 = 50,778.27 : x
  2. Step 2: Convert to fraction form
    120,878.91/181,337.81 = 50,778.27/x
  3. Step 3: Cross multiply
    120,878.91x = 181,337.81 × 50,778.27
  4. Step 4: Simplify right side
    120,878.91x = 9,208,020,023.50
  5. Step 5: Solve for x
    x = 9,208,020,023.50/120,878.91
  6. Step 6: Final answer
    x = 76,175.57

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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.