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Finding the Fourth Proportional to 165,601.44, 228,797.20 and 115,524

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Solution

The fourth proportional to 165,601.44, 228,797.20 and 115,524 is: 159,609.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,601.44 : 228,797.20 = 115,524 : x
  2. Step 2: Convert to fraction form
    165,601.44/228,797.20 = 115,524/x
  3. Step 3: Cross multiply
    165,601.44x = 228,797.20 × 115,524
  4. Step 4: Simplify right side
    165,601.44x = 26,431,567,732.80
  5. Step 5: Solve for x
    x = 26,431,567,732.80/165,601.44
  6. Step 6: Final answer
    x = 159,609.53

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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.