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Finding the Fourth Proportional to 92,198.26, 126,965.91 and 80,093.26

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Solution

The fourth proportional to 92,198.26, 126,965.91 and 80,093.26 is: 110,296.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,198.26 : 126,965.91 = 80,093.26 : x
  2. Step 2: Convert to fraction form
    92,198.26/126,965.91 = 80,093.26/x
  3. Step 3: Cross multiply
    92,198.26x = 126,965.91 × 80,093.26
  4. Step 4: Simplify right side
    92,198.26x = 10,169,113,640.77
  5. Step 5: Solve for x
    x = 10,169,113,640.77/92,198.26
  6. Step 6: Final answer
    x = 110,296.16

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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.