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Finding the Fourth Proportional to 206,104.52, 309,200.87 and 63,946.73

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Solution

The fourth proportional to 206,104.52, 309,200.87 and 63,946.73 is: 95,933.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,104.52 : 309,200.87 = 63,946.73 : x
  2. Step 2: Convert to fraction form
    206,104.52/309,200.87 = 63,946.73/x
  3. Step 3: Cross multiply
    206,104.52x = 309,200.87 × 63,946.73
  4. Step 4: Simplify right side
    206,104.52x = 19,772,385,482.52
  5. Step 5: Solve for x
    x = 19,772,385,482.52/206,104.52
  6. Step 6: Final answer
    x = 95,933.78

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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.