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Finding the Fourth Proportional to 271,762.98, 375,067.51 and 164,333.78

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Solution

The fourth proportional to 271,762.98, 375,067.51 and 164,333.78 is: 226,801.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,762.98 : 375,067.51 = 164,333.78 : x
  2. Step 2: Convert to fraction form
    271,762.98/375,067.51 = 164,333.78/x
  3. Step 3: Cross multiply
    271,762.98x = 375,067.51 × 164,333.78
  4. Step 4: Simplify right side
    271,762.98x = 61,636,259,387.32
  5. Step 5: Solve for x
    x = 61,636,259,387.32/271,762.98
  6. Step 6: Final answer
    x = 226,801.53

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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.