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Finding the Fourth Proportional to 258,379.68, 356,341.92 and 167,646.24

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Solution

The fourth proportional to 258,379.68, 356,341.92 and 167,646.24 is: 231,207.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,379.68 : 356,341.92 = 167,646.24 : x
  2. Step 2: Convert to fraction form
    258,379.68/356,341.92 = 167,646.24/x
  3. Step 3: Cross multiply
    258,379.68x = 356,341.92 × 167,646.24
  4. Step 4: Simplify right side
    258,379.68x = 59,739,383,042.38
  5. Step 5: Solve for x
    x = 59,739,383,042.38/258,379.68
  6. Step 6: Final answer
    x = 231,207.74

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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.