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Finding the Fourth Proportional to 135,218.14, 202,832.36 and 40,449.66

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Solution

The fourth proportional to 135,218.14, 202,832.36 and 40,449.66 is: 60,676.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,218.14 : 202,832.36 = 40,449.66 : x
  2. Step 2: Convert to fraction form
    135,218.14/202,832.36 = 40,449.66/x
  3. Step 3: Cross multiply
    135,218.14x = 202,832.36 × 40,449.66
  4. Step 4: Simplify right side
    135,218.14x = 8,204,499,999.00
  5. Step 5: Solve for x
    x = 8,204,499,999.00/135,218.14
  6. Step 6: Final answer
    x = 60,676.03

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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.