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Finding the Fourth Proportional to 287,102.32, 396,198.12 and 159,775.76

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Solution

The fourth proportional to 287,102.32, 396,198.12 and 159,775.76 is: 220,488.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,102.32 : 396,198.12 = 159,775.76 : x
  2. Step 2: Convert to fraction form
    287,102.32/396,198.12 = 159,775.76/x
  3. Step 3: Cross multiply
    287,102.32x = 396,198.12 × 159,775.76
  4. Step 4: Simplify right side
    287,102.32x = 63,302,855,733.57
  5. Step 5: Solve for x
    x = 63,302,855,733.57/287,102.32
  6. Step 6: Final answer
    x = 220,488.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.