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Finding the Fourth Proportional to 299,879.88, 413,845.38 and 163,922.97

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Solution

The fourth proportional to 299,879.88, 413,845.38 and 163,922.97 is: 226,219.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,879.88 : 413,845.38 = 163,922.97 : x
  2. Step 2: Convert to fraction form
    299,879.88/413,845.38 = 163,922.97/x
  3. Step 3: Cross multiply
    299,879.88x = 413,845.38 × 163,922.97
  4. Step 4: Simplify right side
    299,879.88x = 67,838,763,810.38
  5. Step 5: Solve for x
    x = 67,838,763,810.38/299,879.88
  6. Step 6: Final answer
    x = 226,219.79

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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.