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Finding the Fourth Proportional to 217,856.76, 327,064.99 and 167,968.54

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Solution

The fourth proportional to 217,856.76, 327,064.99 and 167,968.54 is: 252,168.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,856.76 : 327,064.99 = 167,968.54 : x
  2. Step 2: Convert to fraction form
    217,856.76/327,064.99 = 167,968.54/x
  3. Step 3: Cross multiply
    217,856.76x = 327,064.99 × 167,968.54
  4. Step 4: Simplify right side
    217,856.76x = 54,936,628,855.41
  5. Step 5: Solve for x
    x = 54,936,628,855.41/217,856.76
  6. Step 6: Final answer
    x = 252,168.58

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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.