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Finding the Fourth Proportional to 209,711.57, 289,405.33 and 114,218.27

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Solution

The fourth proportional to 209,711.57, 289,405.33 and 114,218.27 is: 157,623.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,711.57 : 289,405.33 = 114,218.27 : x
  2. Step 2: Convert to fraction form
    209,711.57/289,405.33 = 114,218.27/x
  3. Step 3: Cross multiply
    209,711.57x = 289,405.33 × 114,218.27
  4. Step 4: Simplify right side
    209,711.57x = 33,055,375,474.08
  5. Step 5: Solve for x
    x = 33,055,375,474.08/209,711.57
  6. Step 6: Final answer
    x = 157,623.05

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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.