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Finding the Fourth Proportional to 206,202.80, 309,228.33 and 71,232.52

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Solution

The fourth proportional to 206,202.80, 309,228.33 and 71,232.52 is: 106,822.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,202.80 : 309,228.33 = 71,232.52 : x
  2. Step 2: Convert to fraction form
    206,202.80/309,228.33 = 71,232.52/x
  3. Step 3: Cross multiply
    206,202.80x = 309,228.33 × 71,232.52
  4. Step 4: Simplify right side
    206,202.80x = 22,027,113,201.29
  5. Step 5: Solve for x
    x = 22,027,113,201.29/206,202.80
  6. Step 6: Final answer
    x = 106,822.57

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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.