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Finding the Fourth Proportional to 129,843.78, 194,746.14 and 41,085.73

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Solution

The fourth proportional to 129,843.78, 194,746.14 and 41,085.73 is: 61,622.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,843.78 : 194,746.14 = 41,085.73 : x
  2. Step 2: Convert to fraction form
    129,843.78/194,746.14 = 41,085.73/x
  3. Step 3: Cross multiply
    129,843.78x = 194,746.14 × 41,085.73
  4. Step 4: Simplify right side
    129,843.78x = 8,001,287,570.01
  5. Step 5: Solve for x
    x = 8,001,287,570.01/129,843.78
  6. Step 6: Final answer
    x = 61,622.42

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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.