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Finding the Fourth Proportional to 170,738.80, 256,108.20 and 82,165.30

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Solution

The fourth proportional to 170,738.80, 256,108.20 and 82,165.30 is: 123,247.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,738.80 : 256,108.20 = 82,165.30 : x
  2. Step 2: Convert to fraction form
    170,738.80/256,108.20 = 82,165.30/x
  3. Step 3: Cross multiply
    170,738.80x = 256,108.20 × 82,165.30
  4. Step 4: Simplify right side
    170,738.80x = 21,043,207,085.46
  5. Step 5: Solve for x
    x = 21,043,207,085.46/170,738.80
  6. Step 6: Final answer
    x = 123,247.95

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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.