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Finding the Fourth Proportional to 206,627.20, 309,940.80 and 171,635.20

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Solution

The fourth proportional to 206,627.20, 309,940.80 and 171,635.20 is: 257,452.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,627.20 : 309,940.80 = 171,635.20 : x
  2. Step 2: Convert to fraction form
    206,627.20/309,940.80 = 171,635.20/x
  3. Step 3: Cross multiply
    206,627.20x = 309,940.80 × 171,635.20
  4. Step 4: Simplify right side
    206,627.20x = 53,196,751,196.16
  5. Step 5: Solve for x
    x = 53,196,751,196.16/206,627.20
  6. Step 6: Final answer
    x = 257,452.80

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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.