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Finding the Fourth Proportional to 135,005.20, 202,469.10 and 40,231.42

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Solution

The fourth proportional to 135,005.20, 202,469.10 and 40,231.42 is: 60,335.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,005.20 : 202,469.10 = 40,231.42 : x
  2. Step 2: Convert to fraction form
    135,005.20/202,469.10 = 40,231.42/x
  3. Step 3: Cross multiply
    135,005.20x = 202,469.10 × 40,231.42
  4. Step 4: Simplify right side
    135,005.20x = 8,145,619,399.12
  5. Step 5: Solve for x
    x = 8,145,619,399.12/135,005.20
  6. Step 6: Final answer
    x = 60,335.60

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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.