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Finding the Fourth Proportional to 271,028.91, 406,469.93 and 113,224.35

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Solution

The fourth proportional to 271,028.91, 406,469.93 and 113,224.35 is: 169,805.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,028.91 : 406,469.93 = 113,224.35 : x
  2. Step 2: Convert to fraction form
    271,028.91/406,469.93 = 113,224.35/x
  3. Step 3: Cross multiply
    271,028.91x = 406,469.93 × 113,224.35
  4. Step 4: Simplify right side
    271,028.91x = 46,022,293,052.67
  5. Step 5: Solve for x
    x = 46,022,293,052.67/271,028.91
  6. Step 6: Final answer
    x = 169,805.84

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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.