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Finding the Fourth Proportional to 218,553.35, 327,743.75 and 106,200.27

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Solution

The fourth proportional to 218,553.35, 327,743.75 and 106,200.27 is: 159,258.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,553.35 : 327,743.75 = 106,200.27 : x
  2. Step 2: Convert to fraction form
    218,553.35/327,743.75 = 106,200.27/x
  3. Step 3: Cross multiply
    218,553.35x = 327,743.75 × 106,200.27
  4. Step 4: Simplify right side
    218,553.35x = 34,806,475,006.31
  5. Step 5: Solve for x
    x = 34,806,475,006.31/218,553.35
  6. Step 6: Final answer
    x = 159,258.49

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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.