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Finding the Fourth Proportional to 218,098.52, 327,013.80 and 84,823.43

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Solution

The fourth proportional to 218,098.52, 327,013.80 and 84,823.43 is: 127,183.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,098.52 : 327,013.80 = 84,823.43 : x
  2. Step 2: Convert to fraction form
    218,098.52/327,013.80 = 84,823.43/x
  3. Step 3: Cross multiply
    218,098.52x = 327,013.80 × 84,823.43
  4. Step 4: Simplify right side
    218,098.52x = 27,738,432,173.33
  5. Step 5: Solve for x
    x = 27,738,432,173.33/218,098.52
  6. Step 6: Final answer
    x = 127,183.04

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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.