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Finding the Fourth Proportional to 180,524.70, 270,787.05 and 135,909.90

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Solution

The fourth proportional to 180,524.70, 270,787.05 and 135,909.90 is: 203,864.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,524.70 : 270,787.05 = 135,909.90 : x
  2. Step 2: Convert to fraction form
    180,524.70/270,787.05 = 135,909.90/x
  3. Step 3: Cross multiply
    180,524.70x = 270,787.05 × 135,909.90
  4. Step 4: Simplify right side
    180,524.70x = 36,802,640,886.80
  5. Step 5: Solve for x
    x = 36,802,640,886.80/180,524.70
  6. Step 6: Final answer
    x = 203,864.85

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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.