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Finding the Fourth Proportional to 271,924.80, 407,725.20 and 166,819.20

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Solution

The fourth proportional to 271,924.80, 407,725.20 and 166,819.20 is: 250,129.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,924.80 : 407,725.20 = 166,819.20 : x
  2. Step 2: Convert to fraction form
    271,924.80/407,725.20 = 166,819.20/x
  3. Step 3: Cross multiply
    271,924.80x = 407,725.20 × 166,819.20
  4. Step 4: Simplify right side
    271,924.80x = 68,016,391,683.84
  5. Step 5: Solve for x
    x = 68,016,391,683.84/271,924.80
  6. Step 6: Final answer
    x = 250,129.42

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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.