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Finding the Fourth Proportional to 205,301.88, 281,258.86 and 197,626.30

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Solution

The fourth proportional to 205,301.88, 281,258.86 and 197,626.30 is: 270,743.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,301.88 : 281,258.86 = 197,626.30 : x
  2. Step 2: Convert to fraction form
    205,301.88/281,258.86 = 197,626.30/x
  3. Step 3: Cross multiply
    205,301.88x = 281,258.86 × 197,626.30
  4. Step 4: Simplify right side
    205,301.88x = 55,584,147,844.02
  5. Step 5: Solve for x
    x = 55,584,147,844.02/205,301.88
  6. Step 6: Final answer
    x = 270,743.49

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.