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Finding the Fourth Proportional to 120,826.80, 181,067.40 and 83,847.60

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Solution

The fourth proportional to 120,826.80, 181,067.40 and 83,847.60 is: 125,651.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,826.80 : 181,067.40 = 83,847.60 : x
  2. Step 2: Convert to fraction form
    120,826.80/181,067.40 = 83,847.60/x
  3. Step 3: Cross multiply
    120,826.80x = 181,067.40 × 83,847.60
  4. Step 4: Simplify right side
    120,826.80x = 15,182,066,928.24
  5. Step 5: Solve for x
    x = 15,182,066,928.24/120,826.80
  6. Step 6: Final answer
    x = 125,651.49

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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.