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Finding the Fourth Proportional to 135,317.96, 202,996.38 and 41,831

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Solution

The fourth proportional to 135,317.96, 202,996.38 and 41,831 is: 62,752.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,317.96 : 202,996.38 = 41,831 : x
  2. Step 2: Convert to fraction form
    135,317.96/202,996.38 = 41,831/x
  3. Step 3: Cross multiply
    135,317.96x = 202,996.38 × 41,831
  4. Step 4: Simplify right side
    135,317.96x = 8,491,541,571.78
  5. Step 5: Solve for x
    x = 8,491,541,571.78/135,317.96
  6. Step 6: Final answer
    x = 62,752.51

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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.