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Finding the Fourth Proportional to 206,767.84, 285,621.24 and 162,012.12

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Solution

The fourth proportional to 206,767.84, 285,621.24 and 162,012.12 is: 223,797.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,767.84 : 285,621.24 = 162,012.12 : x
  2. Step 2: Convert to fraction form
    206,767.84/285,621.24 = 162,012.12/x
  3. Step 3: Cross multiply
    206,767.84x = 285,621.24 × 162,012.12
  4. Step 4: Simplify right side
    206,767.84x = 46,274,102,609.43
  5. Step 5: Solve for x
    x = 46,274,102,609.43/206,767.84
  6. Step 6: Final answer
    x = 223,797.39

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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.