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Finding the Fourth Proportional to 120,913.22, 181,369.56 and 32,166.74

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Solution

The fourth proportional to 120,913.22, 181,369.56 and 32,166.74 is: 48,250.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,913.22 : 181,369.56 = 32,166.74 : x
  2. Step 2: Convert to fraction form
    120,913.22/181,369.56 = 32,166.74/x
  3. Step 3: Cross multiply
    120,913.22x = 181,369.56 × 32,166.74
  4. Step 4: Simplify right side
    120,913.22x = 5,834,067,480.43
  5. Step 5: Solve for x
    x = 5,834,067,480.43/120,913.22
  6. Step 6: Final answer
    x = 48,250.04

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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.