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Finding the Fourth Proportional to 218,491.83, 327,770.01 and 111,936.06

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Solution

The fourth proportional to 218,491.83, 327,770.01 and 111,936.06 is: 167,920.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,491.83 : 327,770.01 = 111,936.06 : x
  2. Step 2: Convert to fraction form
    218,491.83/327,770.01 = 111,936.06/x
  3. Step 3: Cross multiply
    218,491.83x = 327,770.01 × 111,936.06
  4. Step 4: Simplify right side
    218,491.83x = 36,689,283,505.56
  5. Step 5: Solve for x
    x = 36,689,283,505.56/218,491.83
  6. Step 6: Final answer
    x = 167,920.62

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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.