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Finding the Fourth Proportional to 120,209.52, 180,277.92 and 40,227.12

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Solution

The fourth proportional to 120,209.52, 180,277.92 and 40,227.12 is: 60,328.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,209.52 : 180,277.92 = 40,227.12 : x
  2. Step 2: Convert to fraction form
    120,209.52/180,277.92 = 40,227.12/x
  3. Step 3: Cross multiply
    120,209.52x = 180,277.92 × 40,227.12
  4. Step 4: Simplify right side
    120,209.52x = 7,252,061,521.19
  5. Step 5: Solve for x
    x = 7,252,061,521.19/120,209.52
  6. Step 6: Final answer
    x = 60,328.51

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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.