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Finding the Fourth Proportional to 213,846.20, 320,846.10 and 206,166.20

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Solution

The fourth proportional to 213,846.20, 320,846.10 and 206,166.20 is: 309,323.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,846.20 : 320,846.10 = 206,166.20 : x
  2. Step 2: Convert to fraction form
    213,846.20/320,846.10 = 206,166.20/x
  3. Step 3: Cross multiply
    213,846.20x = 320,846.10 × 206,166.20
  4. Step 4: Simplify right side
    213,846.20x = 66,147,621,221.82
  5. Step 5: Solve for x
    x = 66,147,621,221.82/213,846.20
  6. Step 6: Final answer
    x = 309,323.34

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1.5x scale

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.