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Finding the Fourth Proportional to 206,793.12, 310,191.32 and 113,247.84

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Solution

The fourth proportional to 206,793.12, 310,191.32 and 113,247.84 is: 169,872.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,793.12 : 310,191.32 = 113,247.84 : x
  2. Step 2: Convert to fraction form
    206,793.12/310,191.32 = 113,247.84/x
  3. Step 3: Cross multiply
    206,793.12x = 310,191.32 × 113,247.84
  4. Step 4: Simplify right side
    206,793.12x = 35,128,496,976.75
  5. Step 5: Solve for x
    x = 35,128,496,976.75/206,793.12
  6. Step 6: Final answer
    x = 169,872.66

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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.