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Finding the Fourth Proportional to 82,600.94, 123,027.15 and 82,198.22

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Solution

The fourth proportional to 82,600.94, 123,027.15 and 82,198.22 is: 122,427.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,600.94 : 123,027.15 = 82,198.22 : x
  2. Step 2: Convert to fraction form
    82,600.94/123,027.15 = 82,198.22/x
  3. Step 3: Cross multiply
    82,600.94x = 123,027.15 × 82,198.22
  4. Step 4: Simplify right side
    82,600.94x = 10,112,612,330.68
  5. Step 5: Solve for x
    x = 10,112,612,330.68/82,600.94
  6. Step 6: Final answer
    x = 122,427.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.