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Finding the Fourth Proportional to 271,964.90, 408,093.15 and 114,209.30

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Solution

The fourth proportional to 271,964.90, 408,093.15 and 114,209.30 is: 171,375.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,964.90 : 408,093.15 = 114,209.30 : x
  2. Step 2: Convert to fraction form
    271,964.90/408,093.15 = 114,209.30/x
  3. Step 3: Cross multiply
    271,964.90x = 408,093.15 × 114,209.30
  4. Step 4: Simplify right side
    271,964.90x = 46,608,032,996.30
  5. Step 5: Solve for x
    x = 46,608,032,996.30/271,964.90
  6. Step 6: Final answer
    x = 171,375.18

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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.