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Finding the Fourth Proportional to 198,268.11, 297,448.97 and 65,148.75

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Solution

The fourth proportional to 198,268.11, 297,448.97 and 65,148.75 is: 97,738.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,268.11 : 297,448.97 = 65,148.75 : x
  2. Step 2: Convert to fraction form
    198,268.11/297,448.97 = 65,148.75/x
  3. Step 3: Cross multiply
    198,268.11x = 297,448.97 × 65,148.75
  4. Step 4: Simplify right side
    198,268.11x = 19,378,428,258.54
  5. Step 5: Solve for x
    x = 19,378,428,258.54/198,268.11
  6. Step 6: Final answer
    x = 97,738.50

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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.