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Finding the Fourth Proportional to 271,936.90, 408,051.15 and 114,181.30

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Solution

The fourth proportional to 271,936.90, 408,051.15 and 114,181.30 is: 171,333.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,936.90 : 408,051.15 = 114,181.30 : x
  2. Step 2: Convert to fraction form
    271,936.90/408,051.15 = 114,181.30/x
  3. Step 3: Cross multiply
    271,936.90x = 408,051.15 × 114,181.30
  4. Step 4: Simplify right side
    271,936.90x = 46,591,810,773.50
  5. Step 5: Solve for x
    x = 46,591,810,773.50/271,936.90
  6. Step 6: Final answer
    x = 171,333.17

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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.