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Finding the Fourth Proportional to 206,186.70, 284,544.65 and 196,738.86

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Solution

The fourth proportional to 206,186.70, 284,544.65 and 196,738.86 is: 271,506.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,186.70 : 284,544.65 = 196,738.86 : x
  2. Step 2: Convert to fraction form
    206,186.70/284,544.65 = 196,738.86/x
  3. Step 3: Cross multiply
    206,186.70x = 284,544.65 × 196,738.86
  4. Step 4: Simplify right side
    206,186.70x = 55,980,990,060.10
  5. Step 5: Solve for x
    x = 55,980,990,060.10/206,186.70
  6. Step 6: Final answer
    x = 271,506.31

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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.