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Finding the Fourth Proportional to 209,431.43, 311,778.42 and 208,185.87

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Solution

The fourth proportional to 209,431.43, 311,778.42 and 208,185.87 is: 309,924.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,431.43 : 311,778.42 = 208,185.87 : x
  2. Step 2: Convert to fraction form
    209,431.43/311,778.42 = 208,185.87/x
  3. Step 3: Cross multiply
    209,431.43x = 311,778.42 × 208,185.87
  4. Step 4: Simplify right side
    209,431.43x = 64,907,861,614.93
  5. Step 5: Solve for x
    x = 64,907,861,614.93/209,431.43
  6. Step 6: Final answer
    x = 309,924.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.