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Finding the Fourth Proportional to 258,450.38, 356,512.75 and 161,486.06

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Solution

The fourth proportional to 258,450.38, 356,512.75 and 161,486.06 is: 222,757.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,450.38 : 356,512.75 = 161,486.06 : x
  2. Step 2: Convert to fraction form
    258,450.38/356,512.75 = 161,486.06/x
  3. Step 3: Cross multiply
    258,450.38x = 356,512.75 × 161,486.06
  4. Step 4: Simplify right side
    258,450.38x = 57,571,839,337.27
  5. Step 5: Solve for x
    x = 57,571,839,337.27/258,450.38
  6. Step 6: Final answer
    x = 222,757.80

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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.