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Finding the Fourth Proportional to 136,408.72, 188,253.49 and 82,696

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Solution

The fourth proportional to 136,408.72, 188,253.49 and 82,696 is: 114,126.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,408.72 : 188,253.49 = 82,696 : x
  2. Step 2: Convert to fraction form
    136,408.72/188,253.49 = 82,696/x
  3. Step 3: Cross multiply
    136,408.72x = 188,253.49 × 82,696
  4. Step 4: Simplify right side
    136,408.72x = 15,567,810,609.04
  5. Step 5: Solve for x
    x = 15,567,810,609.04/136,408.72
  6. Step 6: Final answer
    x = 114,126.21

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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.