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Finding the Fourth Proportional to 206,573.20, 309,203.70 and 147,524.20

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Solution

The fourth proportional to 206,573.20, 309,203.70 and 147,524.20 is: 220,817.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,573.20 : 309,203.70 = 147,524.20 : x
  2. Step 2: Convert to fraction form
    206,573.20/309,203.70 = 147,524.20/x
  3. Step 3: Cross multiply
    206,573.20x = 309,203.70 × 147,524.20
  4. Step 4: Simplify right side
    206,573.20x = 45,615,028,479.54
  5. Step 5: Solve for x
    x = 45,615,028,479.54/206,573.20
  6. Step 6: Final answer
    x = 220,817.75

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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.