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Finding the Fourth Proportional to 136,005.11, 187,704.31 and 82,290.57

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Solution

The fourth proportional to 136,005.11, 187,704.31 and 82,290.57 is: 113,571.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,005.11 : 187,704.31 = 82,290.57 : x
  2. Step 2: Convert to fraction form
    136,005.11/187,704.31 = 82,290.57/x
  3. Step 3: Cross multiply
    136,005.11x = 187,704.31 × 82,290.57
  4. Step 4: Simplify right side
    136,005.11x = 15,446,293,311.38
  5. Step 5: Solve for x
    x = 15,446,293,311.38/136,005.11
  6. Step 6: Final answer
    x = 113,571.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.