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Finding the Fourth Proportional to 135,638.45, 187,183.31 and 75,211.64

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Solution

The fourth proportional to 135,638.45, 187,183.31 and 75,211.64 is: 103,793.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,638.45 : 187,183.31 = 75,211.64 : x
  2. Step 2: Convert to fraction form
    135,638.45/187,183.31 = 75,211.64/x
  3. Step 3: Cross multiply
    135,638.45x = 187,183.31 × 75,211.64
  4. Step 4: Simplify right side
    135,638.45x = 14,078,363,115.69
  5. Step 5: Solve for x
    x = 14,078,363,115.69/135,638.45
  6. Step 6: Final answer
    x = 103,793.31

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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.