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Finding the Fourth Proportional to 164,311.20, 226,748.97 and 92,691

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Solution

The fourth proportional to 164,311.20, 226,748.97 and 92,691 is: 127,913.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,311.20 : 226,748.97 = 92,691 : x
  2. Step 2: Convert to fraction form
    164,311.20/226,748.97 = 92,691/x
  3. Step 3: Cross multiply
    164,311.20x = 226,748.97 × 92,691
  4. Step 4: Simplify right side
    164,311.20x = 21,017,588,778.27
  5. Step 5: Solve for x
    x = 21,017,588,778.27/164,311.20
  6. Step 6: Final answer
    x = 127,913.31

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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.