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Finding the Fourth Proportional to 111,658.26, 167,454.09 and 36,764.58

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Solution

The fourth proportional to 111,658.26, 167,454.09 and 36,764.58 is: 55,135.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,658.26 : 167,454.09 = 36,764.58 : x
  2. Step 2: Convert to fraction form
    111,658.26/167,454.09 = 36,764.58/x
  3. Step 3: Cross multiply
    111,658.26x = 167,454.09 × 36,764.58
  4. Step 4: Simplify right side
    111,658.26x = 6,156,379,288.13
  5. Step 5: Solve for x
    x = 6,156,379,288.13/111,658.26
  6. Step 6: Final answer
    x = 55,135.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.