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Finding the Fourth Proportional to 299,757.33, 413,652.29 and 163,789.11

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Solution

The fourth proportional to 299,757.33, 413,652.29 and 163,789.11 is: 226,021.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,757.33 : 413,652.29 = 163,789.11 : x
  2. Step 2: Convert to fraction form
    299,757.33/413,652.29 = 163,789.11/x
  3. Step 3: Cross multiply
    299,757.33x = 413,652.29 × 163,789.11
  4. Step 4: Simplify right side
    299,757.33x = 67,751,739,609.62
  5. Step 5: Solve for x
    x = 67,751,739,609.62/299,757.33
  6. Step 6: Final answer
    x = 226,021.96

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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.