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Finding the Fourth Proportional to 209,517.84, 289,134.63 and 114,022.44

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Solution

The fourth proportional to 209,517.84, 289,134.63 and 114,022.44 is: 157,350.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,517.84 : 289,134.63 = 114,022.44 : x
  2. Step 2: Convert to fraction form
    209,517.84/289,134.63 = 114,022.44/x
  3. Step 3: Cross multiply
    209,517.84x = 289,134.63 × 114,022.44
  4. Step 4: Simplify right side
    209,517.84x = 32,967,836,001.10
  5. Step 5: Solve for x
    x = 32,967,836,001.10/209,517.84
  6. Step 6: Final answer
    x = 157,350.97

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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.