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Finding the Fourth Proportional to 409,149.08, 613,789.74 and 120,989.96

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Solution

The fourth proportional to 409,149.08, 613,789.74 and 120,989.96 is: 181,504.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,149.08 : 613,789.74 = 120,989.96 : x
  2. Step 2: Convert to fraction form
    409,149.08/613,789.74 = 120,989.96/x
  3. Step 3: Cross multiply
    409,149.08x = 613,789.74 × 120,989.96
  4. Step 4: Simplify right side
    409,149.08x = 74,262,396,091.01
  5. Step 5: Solve for x
    x = 74,262,396,091.01/409,149.08
  6. Step 6: Final answer
    x = 181,504.49

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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.