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Finding the Fourth Proportional to 135,211.20, 202,816.80 and 82,723.20

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Solution

The fourth proportional to 135,211.20, 202,816.80 and 82,723.20 is: 124,084.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,211.20 : 202,816.80 = 82,723.20 : x
  2. Step 2: Convert to fraction form
    135,211.20/202,816.80 = 82,723.20/x
  3. Step 3: Cross multiply
    135,211.20x = 202,816.80 × 82,723.20
  4. Step 4: Simplify right side
    135,211.20x = 16,777,654,709.76
  5. Step 5: Solve for x
    x = 16,777,654,709.76/135,211.20
  6. Step 6: Final answer
    x = 124,084.80

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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.