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Finding the Fourth Proportional to 135,227.16, 202,843.80 and 41,733

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Solution

The fourth proportional to 135,227.16, 202,843.80 and 41,733 is: 62,600.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,227.16 : 202,843.80 = 41,733 : x
  2. Step 2: Convert to fraction form
    135,227.16/202,843.80 = 41,733/x
  3. Step 3: Cross multiply
    135,227.16x = 202,843.80 × 41,733
  4. Step 4: Simplify right side
    135,227.16x = 8,465,280,305.40
  5. Step 5: Solve for x
    x = 8,465,280,305.40/135,227.16
  6. Step 6: Final answer
    x = 62,600.44

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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.