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Finding the Fourth Proportional to 120,794.82, 181,151.22 and 45,896.97

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Solution

The fourth proportional to 120,794.82, 181,151.22 and 45,896.97 is: 68,829.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,794.82 : 181,151.22 = 45,896.97 : x
  2. Step 2: Convert to fraction form
    120,794.82/181,151.22 = 45,896.97/x
  3. Step 3: Cross multiply
    120,794.82x = 181,151.22 × 45,896.97
  4. Step 4: Simplify right side
    120,794.82x = 8,314,292,109.80
  5. Step 5: Solve for x
    x = 8,314,292,109.80/120,794.82
  6. Step 6: Final answer
    x = 68,829.87

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1.5x scale

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.