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Finding the Fourth Proportional to 237,257.96, 327,783.70 and 198,949.96

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Solution

The fourth proportional to 237,257.96, 327,783.70 and 198,949.96 is: 274,859.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,257.96 : 327,783.70 = 198,949.96 : x
  2. Step 2: Convert to fraction form
    237,257.96/327,783.70 = 198,949.96/x
  3. Step 3: Cross multiply
    237,257.96x = 327,783.70 × 198,949.96
  4. Step 4: Simplify right side
    237,257.96x = 65,212,554,003.65
  5. Step 5: Solve for x
    x = 65,212,554,003.65/237,257.96
  6. Step 6: Final answer
    x = 274,859.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.