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Finding the Fourth Proportional to 164,279.44, 226,713.53 and 92,657.82

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Solution

The fourth proportional to 164,279.44, 226,713.53 and 92,657.82 is: 127,872.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,279.44 : 226,713.53 = 92,657.82 : x
  2. Step 2: Convert to fraction form
    164,279.44/226,713.53 = 92,657.82/x
  3. Step 3: Cross multiply
    164,279.44x = 226,713.53 × 92,657.82
  4. Step 4: Simplify right side
    164,279.44x = 21,006,781,685.95
  5. Step 5: Solve for x
    x = 21,006,781,685.95/164,279.44
  6. Step 6: Final answer
    x = 127,872.25

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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.