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Finding the Fourth Proportional to 213,830.20, 320,822.10 and 206,150.20

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Solution

The fourth proportional to 213,830.20, 320,822.10 and 206,150.20 is: 309,299.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,830.20 : 320,822.10 = 206,150.20 : x
  2. Step 2: Convert to fraction form
    213,830.20/320,822.10 = 206,150.20/x
  3. Step 3: Cross multiply
    213,830.20x = 320,822.10 × 206,150.20
  4. Step 4: Simplify right side
    213,830.20x = 66,137,540,079.42
  5. Step 5: Solve for x
    x = 66,137,540,079.42/213,830.20
  6. Step 6: Final answer
    x = 309,299.34

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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.