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Finding the Fourth Proportional to 205,297.86, 281,253.40 and 197,622.29

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Solution

The fourth proportional to 205,297.86, 281,253.40 and 197,622.29 is: 270,738.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,297.86 : 281,253.40 = 197,622.29 : x
  2. Step 2: Convert to fraction form
    205,297.86/281,253.40 = 197,622.29/x
  3. Step 3: Cross multiply
    205,297.86x = 281,253.40 × 197,622.29
  4. Step 4: Simplify right side
    205,297.86x = 55,581,941,187.36
  5. Step 5: Solve for x
    x = 55,581,941,187.36/205,297.86
  6. Step 6: Final answer
    x = 270,738.04

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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.