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Finding the Fourth Proportional to 164,269.30, 226,691 and 92,648.86

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Solution

The fourth proportional to 164,269.30, 226,691 and 92,648.86 is: 127,855.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,269.30 : 226,691 = 92,648.86 : x
  2. Step 2: Convert to fraction form
    164,269.30/226,691 = 92,648.86/x
  3. Step 3: Cross multiply
    164,269.30x = 226,691 × 92,648.86
  4. Step 4: Simplify right side
    164,269.30x = 21,002,662,722.26
  5. Step 5: Solve for x
    x = 21,002,662,722.26/164,269.30
  6. Step 6: Final answer
    x = 127,855.07

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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.