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Finding the Fourth Proportional to 135,661.76, 187,213.24 and 75,241.64

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Solution

The fourth proportional to 135,661.76, 187,213.24 and 75,241.64 is: 103,833.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,661.76 : 187,213.24 = 75,241.64 : x
  2. Step 2: Convert to fraction form
    135,661.76/187,213.24 = 75,241.64/x
  3. Step 3: Cross multiply
    135,661.76x = 187,213.24 × 75,241.64
  4. Step 4: Simplify right side
    135,661.76x = 14,086,231,207.31
  5. Step 5: Solve for x
    x = 14,086,231,207.31/135,661.76
  6. Step 6: Final answer
    x = 103,833.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.