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Finding the Fourth Proportional to 275,192.56, 379,807.25 and 167,824.86

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Solution

The fourth proportional to 275,192.56, 379,807.25 and 167,824.86 is: 231,623.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,192.56 : 379,807.25 = 167,824.86 : x
  2. Step 2: Convert to fraction form
    275,192.56/379,807.25 = 167,824.86/x
  3. Step 3: Cross multiply
    275,192.56x = 379,807.25 × 167,824.86
  4. Step 4: Simplify right side
    275,192.56x = 63,741,098,431.25
  5. Step 5: Solve for x
    x = 63,741,098,431.25/275,192.56
  6. Step 6: Final answer
    x = 231,623.63

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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.