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Finding the Fourth Proportional to 217,960.73, 326,993.79 and 75,785.48

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Solution

The fourth proportional to 217,960.73, 326,993.79 and 75,785.48 is: 113,696.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,960.73 : 326,993.79 = 75,785.48 : x
  2. Step 2: Convert to fraction form
    217,960.73/326,993.79 = 75,785.48/x
  3. Step 3: Cross multiply
    217,960.73x = 326,993.79 × 75,785.48
  4. Step 4: Simplify right side
    217,960.73x = 24,781,381,332.17
  5. Step 5: Solve for x
    x = 24,781,381,332.17/217,960.73
  6. Step 6: Final answer
    x = 113,696.54

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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.