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Finding the Fourth Proportional to 120,942.68, 181,415.88 and 46,067

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Solution

The fourth proportional to 120,942.68, 181,415.88 and 46,067 is: 69,101.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,942.68 : 181,415.88 = 46,067 : x
  2. Step 2: Convert to fraction form
    120,942.68/181,415.88 = 46,067/x
  3. Step 3: Cross multiply
    120,942.68x = 181,415.88 × 46,067
  4. Step 4: Simplify right side
    120,942.68x = 8,357,285,343.96
  5. Step 5: Solve for x
    x = 8,357,285,343.96/120,942.68
  6. Step 6: Final answer
    x = 69,101.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.