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Finding the Fourth Proportional to 170,794.64, 256,194.99 and 52,467

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Solution

The fourth proportional to 170,794.64, 256,194.99 and 52,467 is: 78,701.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,794.64 : 256,194.99 = 52,467 : x
  2. Step 2: Convert to fraction form
    170,794.64/256,194.99 = 52,467/x
  3. Step 3: Cross multiply
    170,794.64x = 256,194.99 × 52,467
  4. Step 4: Simplify right side
    170,794.64x = 13,441,782,540.33
  5. Step 5: Solve for x
    x = 13,441,782,540.33/170,794.64
  6. Step 6: Final answer
    x = 78,701.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.