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Finding the Fourth Proportional to 218,324.58, 327,376.09 and 99,894.43

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Solution

The fourth proportional to 218,324.58, 327,376.09 and 99,894.43 is: 149,790.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,324.58 : 327,376.09 = 99,894.43 : x
  2. Step 2: Convert to fraction form
    218,324.58/327,376.09 = 99,894.43/x
  3. Step 3: Cross multiply
    218,324.58x = 327,376.09 × 99,894.43
  4. Step 4: Simplify right side
    218,324.58x = 32,703,047,906.18
  5. Step 5: Solve for x
    x = 32,703,047,906.18/218,324.58
  6. Step 6: Final answer
    x = 149,790.96

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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.