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Finding the Fourth Proportional to 209,797.18, 289,516.44 and 114,304.56

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Solution

The fourth proportional to 209,797.18, 289,516.44 and 114,304.56 is: 157,738.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,797.18 : 289,516.44 = 114,304.56 : x
  2. Step 2: Convert to fraction form
    209,797.18/289,516.44 = 114,304.56/x
  3. Step 3: Cross multiply
    209,797.18x = 289,516.44 × 114,304.56
  4. Step 4: Simplify right side
    209,797.18x = 33,093,049,286.97
  5. Step 5: Solve for x
    x = 33,093,049,286.97/209,797.18
  6. Step 6: Final answer
    x = 157,738.29

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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.