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Finding the Fourth Proportional to 204,103.80, 306,204.30 and 85,714.20

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Solution

The fourth proportional to 204,103.80, 306,204.30 and 85,714.20 is: 128,591.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,103.80 : 306,204.30 = 85,714.20 : x
  2. Step 2: Convert to fraction form
    204,103.80/306,204.30 = 85,714.20/x
  3. Step 3: Cross multiply
    204,103.80x = 306,204.30 × 85,714.20
  4. Step 4: Simplify right side
    204,103.80x = 26,246,056,611.06
  5. Step 5: Solve for x
    x = 26,246,056,611.06/204,103.80
  6. Step 6: Final answer
    x = 128,591.71

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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.