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Finding the Fourth Proportional to 203,906.75, 305,856.92 and 50,034.39

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Solution

The fourth proportional to 203,906.75, 305,856.92 and 50,034.39 is: 75,050.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,906.75 : 305,856.92 = 50,034.39 : x
  2. Step 2: Convert to fraction form
    203,906.75/305,856.92 = 50,034.39/x
  3. Step 3: Cross multiply
    203,906.75x = 305,856.92 × 50,034.39
  4. Step 4: Simplify right side
    203,906.75x = 15,303,364,544.56
  5. Step 5: Solve for x
    x = 15,303,364,544.56/203,906.75
  6. Step 6: Final answer
    x = 75,050.80

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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.