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Finding the Fourth Proportional to 120,744.90, 181,147.92 and 85,275.50

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Solution

The fourth proportional to 120,744.90, 181,147.92 and 85,275.50 is: 127,934.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,744.90 : 181,147.92 = 85,275.50 : x
  2. Step 2: Convert to fraction form
    120,744.90/181,147.92 = 85,275.50/x
  3. Step 3: Cross multiply
    120,744.90x = 181,147.92 × 85,275.50
  4. Step 4: Simplify right side
    120,744.90x = 15,447,479,025.58
  5. Step 5: Solve for x
    x = 15,447,479,025.58/120,744.90
  6. Step 6: Final answer
    x = 127,934.84

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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.