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Finding the Fourth Proportional to 204,156.87, 306,234.62 and 52,353.78

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Solution

The fourth proportional to 204,156.87, 306,234.62 and 52,353.78 is: 78,530.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,156.87 : 306,234.62 = 52,353.78 : x
  2. Step 2: Convert to fraction form
    204,156.87/306,234.62 = 52,353.78/x
  3. Step 3: Cross multiply
    204,156.87x = 306,234.62 × 52,353.78
  4. Step 4: Simplify right side
    204,156.87x = 16,032,540,820.33
  5. Step 5: Solve for x
    x = 16,032,540,820.33/204,156.87
  6. Step 6: Final answer
    x = 78,530.50

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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.