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Finding the Fourth Proportional to 262,067.75, 361,648.72 and 145,780.65

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Solution

The fourth proportional to 262,067.75, 361,648.72 and 145,780.65 is: 201,174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,067.75 : 361,648.72 = 145,780.65 : x
  2. Step 2: Convert to fraction form
    262,067.75/361,648.72 = 145,780.65/x
  3. Step 3: Cross multiply
    262,067.75x = 361,648.72 × 145,780.65
  4. Step 4: Simplify right side
    262,067.75x = 52,721,384,299.31
  5. Step 5: Solve for x
    x = 52,721,384,299.31/262,067.75
  6. Step 6: Final answer
    x = 201,174.64

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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.