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Finding the Fourth Proportional to 167,755, 251,632.50 and 43,096

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Solution

The fourth proportional to 167,755, 251,632.50 and 43,096 is: 64,644

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,755 : 251,632.50 = 43,096 : x
  2. Step 2: Convert to fraction form
    167,755/251,632.50 = 43,096/x
  3. Step 3: Cross multiply
    167,755x = 251,632.50 × 43,096
  4. Step 4: Simplify right side
    167,755x = 10,844,354,220
  5. Step 5: Solve for x
    x = 10,844,354,220/167,755
  6. Step 6: Final answer
    x = 64,644

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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.