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Finding the Fourth Proportional to 271,995.48, 408,062.42 and 159,770.60

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Solution

The fourth proportional to 271,995.48, 408,062.42 and 159,770.60 is: 239,696.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,995.48 : 408,062.42 = 159,770.60 : x
  2. Step 2: Convert to fraction form
    271,995.48/408,062.42 = 159,770.60/x
  3. Step 3: Cross multiply
    271,995.48x = 408,062.42 × 159,770.60
  4. Step 4: Simplify right side
    271,995.48x = 65,196,378,343.41
  5. Step 5: Solve for x
    x = 65,196,378,343.41/271,995.48
  6. Step 6: Final answer
    x = 239,696.55

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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.