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Finding the Fourth Proportional to 218,096.52, 327,010.80 and 84,821.43

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Solution

The fourth proportional to 218,096.52, 327,010.80 and 84,821.43 is: 127,180.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,096.52 : 327,010.80 = 84,821.43 : x
  2. Step 2: Convert to fraction form
    218,096.52/327,010.80 = 84,821.43/x
  3. Step 3: Cross multiply
    218,096.52x = 327,010.80 × 84,821.43
  4. Step 4: Simplify right side
    218,096.52x = 27,737,523,681.44
  5. Step 5: Solve for x
    x = 27,737,523,681.44/218,096.52
  6. Step 6: Final answer
    x = 127,180.04

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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.