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Finding the Fourth Proportional to 164,462.38, 226,963.97 and 92,855.14

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Solution

The fourth proportional to 164,462.38, 226,963.97 and 92,855.14 is: 128,143.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,462.38 : 226,963.97 = 92,855.14 : x
  2. Step 2: Convert to fraction form
    164,462.38/226,963.97 = 92,855.14/x
  3. Step 3: Cross multiply
    164,462.38x = 226,963.97 × 92,855.14
  4. Step 4: Simplify right side
    164,462.38x = 21,074,771,209.31
  5. Step 5: Solve for x
    x = 21,074,771,209.31/164,462.38
  6. Step 6: Final answer
    x = 128,143.42

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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.