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Finding the Fourth Proportional to 209,052.60, 288,516.79 and 196,227.21

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Solution

The fourth proportional to 209,052.60, 288,516.79 and 196,227.21 is: 270,816.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,052.60 : 288,516.79 = 196,227.21 : x
  2. Step 2: Convert to fraction form
    209,052.60/288,516.79 = 196,227.21/x
  3. Step 3: Cross multiply
    209,052.60x = 288,516.79 × 196,227.21
  4. Step 4: Simplify right side
    209,052.60x = 56,614,843,340.39
  5. Step 5: Solve for x
    x = 56,614,843,340.39/209,052.60
  6. Step 6: Final answer
    x = 270,816.27

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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.