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Finding the Fourth Proportional to 218,396.82, 327,443.23 and 96,751.29

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Solution

The fourth proportional to 218,396.82, 327,443.23 and 96,751.29 is: 145,059.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,396.82 : 327,443.23 = 96,751.29 : x
  2. Step 2: Convert to fraction form
    218,396.82/327,443.23 = 96,751.29/x
  3. Step 3: Cross multiply
    218,396.82x = 327,443.23 × 96,751.29
  4. Step 4: Simplify right side
    218,396.82x = 31,680,554,904.27
  5. Step 5: Solve for x
    x = 31,680,554,904.27/218,396.82
  6. Step 6: Final answer
    x = 145,059.60

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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.