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Finding the Fourth Proportional to 164,286.38, 226,705.77 and 92,662.13

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Solution

The fourth proportional to 164,286.38, 226,705.77 and 92,662.13 is: 127,868.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,286.38 : 226,705.77 = 92,662.13 : x
  2. Step 2: Convert to fraction form
    164,286.38/226,705.77 = 92,662.13/x
  3. Step 3: Cross multiply
    164,286.38x = 226,705.77 × 92,662.13
  4. Step 4: Simplify right side
    164,286.38x = 21,007,039,531.49
  5. Step 5: Solve for x
    x = 21,007,039,531.49/164,286.38
  6. Step 6: Final answer
    x = 127,868.42

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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.