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Finding the Fourth Proportional to 271,750.60, 408,063.30 and 205,265.80

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Solution

The fourth proportional to 271,750.60, 408,063.30 and 205,265.80 is: 308,229.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,750.60 : 408,063.30 = 205,265.80 : x
  2. Step 2: Convert to fraction form
    271,750.60/408,063.30 = 205,265.80/x
  3. Step 3: Cross multiply
    271,750.60x = 408,063.30 × 205,265.80
  4. Step 4: Simplify right side
    271,750.60x = 83,761,439,725.14
  5. Step 5: Solve for x
    x = 83,761,439,725.14/271,750.60
  6. Step 6: Final answer
    x = 308,229.09

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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.