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Finding the Fourth Proportional to 135,842.27, 203,697.86 and 56,935.31

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Solution

The fourth proportional to 135,842.27, 203,697.86 and 56,935.31 is: 85,375.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,842.27 : 203,697.86 = 56,935.31 : x
  2. Step 2: Convert to fraction form
    135,842.27/203,697.86 = 56,935.31/x
  3. Step 3: Cross multiply
    135,842.27x = 203,697.86 × 56,935.31
  4. Step 4: Simplify right side
    135,842.27x = 11,597,599,502.27
  5. Step 5: Solve for x
    x = 11,597,599,502.27/135,842.27
  6. Step 6: Final answer
    x = 85,375.49

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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.