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Finding the Fourth Proportional to 287,163.76, 396,286 and 159,836.62

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Solution

The fourth proportional to 287,163.76, 396,286 and 159,836.62 is: 220,574.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,163.76 : 396,286 = 159,836.62 : x
  2. Step 2: Convert to fraction form
    287,163.76/396,286 = 159,836.62/x
  3. Step 3: Cross multiply
    287,163.76x = 396,286 × 159,836.62
  4. Step 4: Simplify right side
    287,163.76x = 63,341,014,793.32
  5. Step 5: Solve for x
    x = 63,341,014,793.32/287,163.76
  6. Step 6: Final answer
    x = 220,574.54

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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.