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Finding the Fourth Proportional to 80,902.56, 121,342.50 and 34,144.50

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Solution

The fourth proportional to 80,902.56, 121,342.50 and 34,144.50 is: 51,211.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,902.56 : 121,342.50 = 34,144.50 : x
  2. Step 2: Convert to fraction form
    80,902.56/121,342.50 = 34,144.50/x
  3. Step 3: Cross multiply
    80,902.56x = 121,342.50 × 34,144.50
  4. Step 4: Simplify right side
    80,902.56x = 4,143,178,991.25
  5. Step 5: Solve for x
    x = 4,143,178,991.25/80,902.56
  6. Step 6: Final answer
    x = 51,211.96

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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.