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Finding the Fourth Proportional to 217,855.76, 327,063.49 and 167,967.54

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Solution

The fourth proportional to 217,855.76, 327,063.49 and 167,967.54 is: 252,167.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,855.76 : 327,063.49 = 167,967.54 : x
  2. Step 2: Convert to fraction form
    217,855.76/327,063.49 = 167,967.54/x
  3. Step 3: Cross multiply
    217,855.76x = 327,063.49 × 167,967.54
  4. Step 4: Simplify right side
    217,855.76x = 54,936,049,419.20
  5. Step 5: Solve for x
    x = 54,936,049,419.20/217,855.76
  6. Step 6: Final answer
    x = 252,167.08

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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.