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Finding the Fourth Proportional to 120,766.92, 181,149.80 and 102,830.52

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Solution

The fourth proportional to 120,766.92, 181,149.80 and 102,830.52 is: 154,245.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,766.92 : 181,149.80 = 102,830.52 : x
  2. Step 2: Convert to fraction form
    120,766.92/181,149.80 = 102,830.52/x
  3. Step 3: Cross multiply
    120,766.92x = 181,149.80 × 102,830.52
  4. Step 4: Simplify right side
    120,766.92x = 18,627,728,131.90
  5. Step 5: Solve for x
    x = 18,627,728,131.90/120,766.92
  6. Step 6: Final answer
    x = 154,245.29

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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.