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Finding the Fourth Proportional to 120,527.39, 180,791.39 and 36,287.80

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Solution

The fourth proportional to 120,527.39, 180,791.39 and 36,287.80 is: 54,431.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,527.39 : 180,791.39 = 36,287.80 : x
  2. Step 2: Convert to fraction form
    120,527.39/180,791.39 = 36,287.80/x
  3. Step 3: Cross multiply
    120,527.39x = 180,791.39 × 36,287.80
  4. Step 4: Simplify right side
    120,527.39x = 6,560,521,440.78
  5. Step 5: Solve for x
    x = 6,560,521,440.78/120,527.39
  6. Step 6: Final answer
    x = 54,431.79

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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.