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Finding the Fourth Proportional to 271,996.48, 408,063.92 and 159,771.60

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Solution

The fourth proportional to 271,996.48, 408,063.92 and 159,771.60 is: 239,698.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,996.48 : 408,063.92 = 159,771.60 : x
  2. Step 2: Convert to fraction form
    271,996.48/408,063.92 = 159,771.60/x
  3. Step 3: Cross multiply
    271,996.48x = 408,063.92 × 159,771.60
  4. Step 4: Simplify right side
    271,996.48x = 65,197,025,400.67
  5. Step 5: Solve for x
    x = 65,197,025,400.67/271,996.48
  6. Step 6: Final answer
    x = 239,698.05

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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.