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Finding the Fourth Proportional to 201,713.11, 278,280.64 and 120,025.09

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Solution

The fourth proportional to 201,713.11, 278,280.64 and 120,025.09 is: 165,584.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,713.11 : 278,280.64 = 120,025.09 : x
  2. Step 2: Convert to fraction form
    201,713.11/278,280.64 = 120,025.09/x
  3. Step 3: Cross multiply
    201,713.11x = 278,280.64 × 120,025.09
  4. Step 4: Simplify right side
    201,713.11x = 33,400,659,021.57
  5. Step 5: Solve for x
    x = 33,400,659,021.57/201,713.11
  6. Step 6: Final answer
    x = 165,584.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.