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Finding the Fourth Proportional to 299,721.82, 413,603.88 and 163,760.48

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Solution

The fourth proportional to 299,721.82, 413,603.88 and 163,760.48 is: 225,982.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,721.82 : 413,603.88 = 163,760.48 : x
  2. Step 2: Convert to fraction form
    299,721.82/413,603.88 = 163,760.48/x
  3. Step 3: Cross multiply
    299,721.82x = 413,603.88 × 163,760.48
  4. Step 4: Simplify right side
    299,721.82x = 67,731,969,918.66
  5. Step 5: Solve for x
    x = 67,731,969,918.66/299,721.82
  6. Step 6: Final answer
    x = 225,982.78

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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.