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Finding the Fourth Proportional to 135,644.40, 187,193.88 and 75,211.50

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Solution

The fourth proportional to 135,644.40, 187,193.88 and 75,211.50 is: 103,794.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,644.40 : 187,193.88 = 75,211.50 : x
  2. Step 2: Convert to fraction form
    135,644.40/187,193.88 = 75,211.50/x
  3. Step 3: Cross multiply
    135,644.40x = 187,193.88 × 75,211.50
  4. Step 4: Simplify right side
    135,644.40x = 14,079,132,505.62
  5. Step 5: Solve for x
    x = 14,079,132,505.62/135,644.40
  6. Step 6: Final answer
    x = 103,794.43

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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.