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Finding the Fourth Proportional to 135,644.92, 187,182.36 and 75,211.96

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Solution

The fourth proportional to 135,644.92, 187,182.36 and 75,211.96 is: 103,788.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,644.92 : 187,182.36 = 75,211.96 : x
  2. Step 2: Convert to fraction form
    135,644.92/187,182.36 = 75,211.96/x
  3. Step 3: Cross multiply
    135,644.92x = 187,182.36 × 75,211.96
  4. Step 4: Simplify right side
    135,644.92x = 14,078,352,173.03
  5. Step 5: Solve for x
    x = 14,078,352,173.03/135,644.92
  6. Step 6: Final answer
    x = 103,788.27

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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.