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Finding the Fourth Proportional to 287,102.98, 396,198.22 and 159,778.58

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Solution

The fourth proportional to 287,102.98, 396,198.22 and 159,778.58 is: 220,492.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,102.98 : 396,198.22 = 159,778.58 : x
  2. Step 2: Convert to fraction form
    287,102.98/396,198.22 = 159,778.58/x
  3. Step 3: Cross multiply
    287,102.98x = 396,198.22 × 159,778.58
  4. Step 4: Simplify right side
    287,102.98x = 63,303,986,909.27
  5. Step 5: Solve for x
    x = 63,303,986,909.27/287,102.98
  6. Step 6: Final answer
    x = 220,492.27

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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.