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Finding the Fourth Proportional to 262,565.37, 362,194.31 and 172,067.31

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Solution

The fourth proportional to 262,565.37, 362,194.31 and 172,067.31 is: 237,357.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,565.37 : 362,194.31 = 172,067.31 : x
  2. Step 2: Convert to fraction form
    262,565.37/362,194.31 = 172,067.31/x
  3. Step 3: Cross multiply
    262,565.37x = 362,194.31 × 172,067.31
  4. Step 4: Simplify right side
    262,565.37x = 62,321,799,758.67
  5. Step 5: Solve for x
    x = 62,321,799,758.67/262,565.37
  6. Step 6: Final answer
    x = 237,357.27

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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.