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Finding the Fourth Proportional to 129,750.82, 194,609.49 and 41,013.30

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Solution

The fourth proportional to 129,750.82, 194,609.49 and 41,013.30 is: 61,514.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,750.82 : 194,609.49 = 41,013.30 : x
  2. Step 2: Convert to fraction form
    129,750.82/194,609.49 = 41,013.30/x
  3. Step 3: Cross multiply
    129,750.82x = 194,609.49 × 41,013.30
  4. Step 4: Simplify right side
    129,750.82x = 7,981,577,012.23
  5. Step 5: Solve for x
    x = 7,981,577,012.23/129,750.82
  6. Step 6: Final answer
    x = 61,514.65

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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.