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Finding the Fourth Proportional to 218,106.29, 327,159.50 and 68,346.56

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Solution

The fourth proportional to 218,106.29, 327,159.50 and 68,346.56 is: 102,519.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,106.29 : 327,159.50 = 68,346.56 : x
  2. Step 2: Convert to fraction form
    218,106.29/327,159.50 = 68,346.56/x
  3. Step 3: Cross multiply
    218,106.29x = 327,159.50 × 68,346.56
  4. Step 4: Simplify right side
    218,106.29x = 22,360,226,872.49
  5. Step 5: Solve for x
    x = 22,360,226,872.49/218,106.29
  6. Step 6: Final answer
    x = 102,519.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.