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Finding the Fourth Proportional to 271,493.24, 374,651.46 and 164,044.28

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Solution

The fourth proportional to 271,493.24, 374,651.46 and 164,044.28 is: 226,375.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,493.24 : 374,651.46 = 164,044.28 : x
  2. Step 2: Convert to fraction form
    271,493.24/374,651.46 = 164,044.28/x
  3. Step 3: Cross multiply
    271,493.24x = 374,651.46 × 164,044.28
  4. Step 4: Simplify right side
    271,493.24x = 61,459,429,006.65
  5. Step 5: Solve for x
    x = 61,459,429,006.65/271,493.24
  6. Step 6: Final answer
    x = 226,375.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.