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Finding the Fourth Proportional to 204,415.88, 306,639.20 and 54,652.88

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Solution

The fourth proportional to 204,415.88, 306,639.20 and 54,652.88 is: 81,983.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,415.88 : 306,639.20 = 54,652.88 : x
  2. Step 2: Convert to fraction form
    204,415.88/306,639.20 = 54,652.88/x
  3. Step 3: Cross multiply
    204,415.88x = 306,639.20 × 54,652.88
  4. Step 4: Simplify right side
    204,415.88x = 16,758,715,400.90
  5. Step 5: Solve for x
    x = 16,758,715,400.90/204,415.88
  6. Step 6: Final answer
    x = 81,983.43

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Why These Related Problems?

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