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Finding the Fourth Proportional to 213,832.20, 320,825.10 and 206,152.20

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Solution

The fourth proportional to 213,832.20, 320,825.10 and 206,152.20 is: 309,302.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,832.20 : 320,825.10 = 206,152.20 : x
  2. Step 2: Convert to fraction form
    213,832.20/320,825.10 = 206,152.20/x
  3. Step 3: Cross multiply
    213,832.20x = 320,825.10 × 206,152.20
  4. Step 4: Simplify right side
    213,832.20x = 66,138,800,180.22
  5. Step 5: Solve for x
    x = 66,138,800,180.22/213,832.20
  6. Step 6: Final answer
    x = 309,302.34

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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.