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Finding the Fourth Proportional to 206,924.44, 285,546.52 and 120,891.40

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Solution

The fourth proportional to 206,924.44, 285,546.52 and 120,891.40 is: 166,824.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,924.44 : 285,546.52 = 120,891.40 : x
  2. Step 2: Convert to fraction form
    206,924.44/285,546.52 = 120,891.40/x
  3. Step 3: Cross multiply
    206,924.44x = 285,546.52 × 120,891.40
  4. Step 4: Simplify right side
    206,924.44x = 34,520,118,567.93
  5. Step 5: Solve for x
    x = 34,520,118,567.93/206,924.44
  6. Step 6: Final answer
    x = 166,824.75

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1.5x scale

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.