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Finding the Fourth Proportional to 120,874.60, 181,295.13 and 32,135.32

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Solution

The fourth proportional to 120,874.60, 181,295.13 and 32,135.32 is: 48,198.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,874.60 : 181,295.13 = 32,135.32 : x
  2. Step 2: Convert to fraction form
    120,874.60/181,295.13 = 32,135.32/x
  3. Step 3: Cross multiply
    120,874.60x = 181,295.13 × 32,135.32
  4. Step 4: Simplify right side
    120,874.60x = 5,825,977,016.99
  5. Step 5: Solve for x
    x = 5,825,977,016.99/120,874.60
  6. Step 6: Final answer
    x = 48,198.52

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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.