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Finding the Fourth Proportional to 271,963.56, 408,019.14 and 82,416.26

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Solution

The fourth proportional to 271,963.56, 408,019.14 and 82,416.26 is: 123,646.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,963.56 : 408,019.14 = 82,416.26 : x
  2. Step 2: Convert to fraction form
    271,963.56/408,019.14 = 82,416.26/x
  3. Step 3: Cross multiply
    271,963.56x = 408,019.14 × 82,416.26
  4. Step 4: Simplify right side
    271,963.56x = 33,627,411,527.22
  5. Step 5: Solve for x
    x = 33,627,411,527.22/271,963.56
  6. Step 6: Final answer
    x = 123,646.75

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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.