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Finding the Fourth Proportional to 381,212.26, 571,818.38 and 131,894.26

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Solution

The fourth proportional to 381,212.26, 571,818.38 and 131,894.26 is: 197,841.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,212.26 : 571,818.38 = 131,894.26 : x
  2. Step 2: Convert to fraction form
    381,212.26/571,818.38 = 131,894.26/x
  3. Step 3: Cross multiply
    381,212.26x = 571,818.38 × 131,894.26
  4. Step 4: Simplify right side
    381,212.26x = 75,419,562,084.50
  5. Step 5: Solve for x
    x = 75,419,562,084.50/381,212.26
  6. Step 6: Final answer
    x = 197,841.39

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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.