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Finding the Fourth Proportional to 167,904, 231,702.08 and 92,450.56

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Solution

The fourth proportional to 167,904, 231,702.08 and 92,450.56 is: 127,578.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,904 : 231,702.08 = 92,450.56 : x
  2. Step 2: Convert to fraction form
    167,904/231,702.08 = 92,450.56/x
  3. Step 3: Cross multiply
    167,904x = 231,702.08 × 92,450.56
  4. Step 4: Simplify right side
    167,904x = 21,420,987,049.16
  5. Step 5: Solve for x
    x = 21,420,987,049.16/167,904
  6. Step 6: Final answer
    x = 127,578.78

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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.