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Finding the Fourth Proportional to 180,126.20, 270,342.90 and 80,439.80

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Solution

The fourth proportional to 180,126.20, 270,342.90 and 80,439.80 is: 120,728.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,126.20 : 270,342.90 = 80,439.80 : x
  2. Step 2: Convert to fraction form
    180,126.20/270,342.90 = 80,439.80/x
  3. Step 3: Cross multiply
    180,126.20x = 270,342.90 × 80,439.80
  4. Step 4: Simplify right side
    180,126.20x = 21,746,328,807.42
  5. Step 5: Solve for x
    x = 21,746,328,807.42/180,126.20
  6. Step 6: Final answer
    x = 120,728.29

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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.