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Finding the Fourth Proportional to 137,728.20, 206,592.30 and 120,232.20

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Solution

The fourth proportional to 137,728.20, 206,592.30 and 120,232.20 is: 180,348.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,728.20 : 206,592.30 = 120,232.20 : x
  2. Step 2: Convert to fraction form
    137,728.20/206,592.30 = 120,232.20/x
  3. Step 3: Cross multiply
    137,728.20x = 206,592.30 × 120,232.20
  4. Step 4: Simplify right side
    137,728.20x = 24,839,046,732.06
  5. Step 5: Solve for x
    x = 24,839,046,732.06/137,728.20
  6. Step 6: Final answer
    x = 180,348.30

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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.