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Finding the Fourth Proportional to 135,318.96, 202,997.88 and 41,832

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Solution

The fourth proportional to 135,318.96, 202,997.88 and 41,832 is: 62,754.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,318.96 : 202,997.88 = 41,832 : x
  2. Step 2: Convert to fraction form
    135,318.96/202,997.88 = 41,832/x
  3. Step 3: Cross multiply
    135,318.96x = 202,997.88 × 41,832
  4. Step 4: Simplify right side
    135,318.96x = 8,491,807,316.16
  5. Step 5: Solve for x
    x = 8,491,807,316.16/135,318.96
  6. Step 6: Final answer
    x = 62,754.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.