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Finding the Fourth Proportional to 218,474.44, 327,906.96 and 111,931

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Solution

The fourth proportional to 218,474.44, 327,906.96 and 111,931 is: 167,996.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,474.44 : 327,906.96 = 111,931 : x
  2. Step 2: Convert to fraction form
    218,474.44/327,906.96 = 111,931/x
  3. Step 3: Cross multiply
    218,474.44x = 327,906.96 × 111,931
  4. Step 4: Simplify right side
    218,474.44x = 36,702,953,939.76
  5. Step 5: Solve for x
    x = 36,702,953,939.76/218,474.44
  6. Step 6: Final answer
    x = 167,996.56

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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.