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Finding the Fourth Proportional to 275,067, 412,073.44 and 186,167.16

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Solution

The fourth proportional to 275,067, 412,073.44 and 186,167.16 is: 278,894.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,067 : 412,073.44 = 186,167.16 : x
  2. Step 2: Convert to fraction form
    275,067/412,073.44 = 186,167.16/x
  3. Step 3: Cross multiply
    275,067x = 412,073.44 × 186,167.16
  4. Step 4: Simplify right side
    275,067x = 76,714,542,036.23
  5. Step 5: Solve for x
    x = 76,714,542,036.23/275,067
  6. Step 6: Final answer
    x = 278,894.02

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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.