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Finding the Fourth Proportional to 258,647.91, 356,983.25 and 161,896.65

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Solution

The fourth proportional to 258,647.91, 356,983.25 and 161,896.65 is: 223,448.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,647.91 : 356,983.25 = 161,896.65 : x
  2. Step 2: Convert to fraction form
    258,647.91/356,983.25 = 161,896.65/x
  3. Step 3: Cross multiply
    258,647.91x = 356,983.25 × 161,896.65
  4. Step 4: Simplify right side
    258,647.91x = 57,794,391,471.63
  5. Step 5: Solve for x
    x = 57,794,391,471.63/258,647.91
  6. Step 6: Final answer
    x = 223,448.13

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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.