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Finding the Fourth Proportional to 227,723.20, 341,584.80 and 202,135.30

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Solution

The fourth proportional to 227,723.20, 341,584.80 and 202,135.30 is: 303,202.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,723.20 : 341,584.80 = 202,135.30 : x
  2. Step 2: Convert to fraction form
    227,723.20/341,584.80 = 202,135.30/x
  3. Step 3: Cross multiply
    227,723.20x = 341,584.80 × 202,135.30
  4. Step 4: Simplify right side
    227,723.20x = 69,046,346,023.44
  5. Step 5: Solve for x
    x = 69,046,346,023.44/227,723.20
  6. Step 6: Final answer
    x = 303,202.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.