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Finding the Fourth Proportional to 275,364.54, 413,067.33 and 107,022.78

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Solution

The fourth proportional to 275,364.54, 413,067.33 and 107,022.78 is: 160,542.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,364.54 : 413,067.33 = 107,022.78 : x
  2. Step 2: Convert to fraction form
    275,364.54/413,067.33 = 107,022.78/x
  3. Step 3: Cross multiply
    275,364.54x = 413,067.33 × 107,022.78
  4. Step 4: Simplify right side
    275,364.54x = 44,207,613,983.78
  5. Step 5: Solve for x
    x = 44,207,613,983.78/275,364.54
  6. Step 6: Final answer
    x = 160,542.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.