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Finding the Fourth Proportional to 208,251.92, 312,375.08 and 50,481.74

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Solution

The fourth proportional to 208,251.92, 312,375.08 and 50,481.74 is: 75,721.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,251.92 : 312,375.08 = 50,481.74 : x
  2. Step 2: Convert to fraction form
    208,251.92/312,375.08 = 50,481.74/x
  3. Step 3: Cross multiply
    208,251.92x = 312,375.08 × 50,481.74
  4. Step 4: Simplify right side
    208,251.92x = 15,769,237,571.04
  5. Step 5: Solve for x
    x = 15,769,237,571.04/208,251.92
  6. Step 6: Final answer
    x = 75,721.93

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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.