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Finding the Fourth Proportional to 209,568.99, 289,211.73 and 114,082.05

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Solution

The fourth proportional to 209,568.99, 289,211.73 and 114,082.05 is: 157,436.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,568.99 : 289,211.73 = 114,082.05 : x
  2. Step 2: Convert to fraction form
    209,568.99/289,211.73 = 114,082.05/x
  3. Step 3: Cross multiply
    209,568.99x = 289,211.73 × 114,082.05
  4. Step 4: Simplify right side
    209,568.99x = 32,993,867,042.45
  5. Step 5: Solve for x
    x = 32,993,867,042.45/209,568.99
  6. Step 6: Final answer
    x = 157,436.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.