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Finding the Fourth Proportional to 271,949.40, 408,069.90 and 114,193.80

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Solution

The fourth proportional to 271,949.40, 408,069.90 and 114,193.80 is: 171,351.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,949.40 : 408,069.90 = 114,193.80 : x
  2. Step 2: Convert to fraction form
    271,949.40/408,069.90 = 114,193.80/x
  3. Step 3: Cross multiply
    271,949.40x = 408,069.90 × 114,193.80
  4. Step 4: Simplify right side
    271,949.40x = 46,599,052,546.62
  5. Step 5: Solve for x
    x = 46,599,052,546.62/271,949.40
  6. Step 6: Final answer
    x = 171,351.92

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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.