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Finding the Fourth Proportional to 135,882.29, 187,534.85 and 82,167.68

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Solution

The fourth proportional to 135,882.29, 187,534.85 and 82,167.68 is: 113,401.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,882.29 : 187,534.85 = 82,167.68 : x
  2. Step 2: Convert to fraction form
    135,882.29/187,534.85 = 82,167.68/x
  3. Step 3: Cross multiply
    135,882.29x = 187,534.85 × 82,167.68
  4. Step 4: Simplify right side
    135,882.29x = 15,409,303,601.65
  5. Step 5: Solve for x
    x = 15,409,303,601.65/135,882.29
  6. Step 6: Final answer
    x = 113,401.85

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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.