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Finding the Fourth Proportional to 129,843.97, 194,795.13 and 41,102.80

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Solution

The fourth proportional to 129,843.97, 194,795.13 and 41,102.80 is: 61,663.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,843.97 : 194,795.13 = 41,102.80 : x
  2. Step 2: Convert to fraction form
    129,843.97/194,795.13 = 41,102.80/x
  3. Step 3: Cross multiply
    129,843.97x = 194,795.13 × 41,102.80
  4. Step 4: Simplify right side
    129,843.97x = 8,006,625,269.36
  5. Step 5: Solve for x
    x = 8,006,625,269.36/129,843.97
  6. Step 6: Final answer
    x = 61,663.44

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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.