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Finding the Fourth Proportional to 217,806.25, 326,793.13 and 105,477.83

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Solution

The fourth proportional to 217,806.25, 326,793.13 and 105,477.83 is: 158,257.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,806.25 : 326,793.13 = 105,477.83 : x
  2. Step 2: Convert to fraction form
    217,806.25/326,793.13 = 105,477.83/x
  3. Step 3: Cross multiply
    217,806.25x = 326,793.13 × 105,477.83
  4. Step 4: Simplify right side
    217,806.25x = 34,469,430,132.43
  5. Step 5: Solve for x
    x = 34,469,430,132.43/217,806.25
  6. Step 6: Final answer
    x = 158,257.31

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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.