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Finding the Fourth Proportional to 206,606.85, 309,876.26 and 193,157.61

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Solution

The fourth proportional to 206,606.85, 309,876.26 and 193,157.61 is: 289,704.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,606.85 : 309,876.26 = 193,157.61 : x
  2. Step 2: Convert to fraction form
    206,606.85/309,876.26 = 193,157.61/x
  3. Step 3: Cross multiply
    206,606.85x = 309,876.26 × 193,157.61
  4. Step 4: Simplify right side
    206,606.85x = 59,854,956,811.55
  5. Step 5: Solve for x
    x = 59,854,956,811.55/206,606.85
  6. Step 6: Final answer
    x = 289,704.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.