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Finding the Fourth Proportional to 287,106.82, 396,203.56 and 159,782.38

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Solution

The fourth proportional to 287,106.82, 396,203.56 and 159,782.38 is: 220,497.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,106.82 : 396,203.56 = 159,782.38 : x
  2. Step 2: Convert to fraction form
    287,106.82/396,203.56 = 159,782.38/x
  3. Step 3: Cross multiply
    287,106.82x = 396,203.56 × 159,782.38
  4. Step 4: Simplify right side
    287,106.82x = 63,306,347,781.27
  5. Step 5: Solve for x
    x = 63,306,347,781.27/287,106.82
  6. Step 6: Final answer
    x = 220,497.54

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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.