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Finding the Fourth Proportional to 135,638.98, 187,193.05 and 75,229.08

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Solution

The fourth proportional to 135,638.98, 187,193.05 and 75,229.08 is: 103,822.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,638.98 : 187,193.05 = 75,229.08 : x
  2. Step 2: Convert to fraction form
    135,638.98/187,193.05 = 75,229.08/x
  3. Step 3: Cross multiply
    135,638.98x = 187,193.05 × 75,229.08
  4. Step 4: Simplify right side
    135,638.98x = 14,082,360,933.89
  5. Step 5: Solve for x
    x = 14,082,360,933.89/135,638.98
  6. Step 6: Final answer
    x = 103,822.37

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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.