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Finding the Fourth Proportional to 120,661.22, 181,017.83 and 36,414.33

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Solution

The fourth proportional to 120,661.22, 181,017.83 and 36,414.33 is: 54,629.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,661.22 : 181,017.83 = 36,414.33 : x
  2. Step 2: Convert to fraction form
    120,661.22/181,017.83 = 36,414.33/x
  3. Step 3: Cross multiply
    120,661.22x = 181,017.83 × 36,414.33
  4. Step 4: Simplify right side
    120,661.22x = 6,591,642,997.50
  5. Step 5: Solve for x
    x = 6,591,642,997.50/120,661.22
  6. Step 6: Final answer
    x = 54,629.34

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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.