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Finding the Fourth Proportional to 299,512.25, 413,279.92 and 172,164.05

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Solution

The fourth proportional to 299,512.25, 413,279.92 and 172,164.05 is: 237,559.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,512.25 : 413,279.92 = 172,164.05 : x
  2. Step 2: Convert to fraction form
    299,512.25/413,279.92 = 172,164.05/x
  3. Step 3: Cross multiply
    299,512.25x = 413,279.92 × 172,164.05
  4. Step 4: Simplify right side
    299,512.25x = 71,151,944,810.88
  5. Step 5: Solve for x
    x = 71,151,944,810.88/299,512.25
  6. Step 6: Final answer
    x = 237,559.38

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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.