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Finding the Fourth Proportional to 135,635.27, 187,175.75 and 75,205.94

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Solution

The fourth proportional to 135,635.27, 187,175.75 and 75,205.94 is: 103,783.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,635.27 : 187,175.75 = 75,205.94 : x
  2. Step 2: Convert to fraction form
    135,635.27/187,175.75 = 75,205.94/x
  3. Step 3: Cross multiply
    135,635.27x = 187,175.75 × 75,205.94
  4. Step 4: Simplify right side
    135,635.27x = 14,076,726,912.05
  5. Step 5: Solve for x
    x = 14,076,726,912.05/135,635.27
  6. Step 6: Final answer
    x = 103,783.68

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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.