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Finding the Fourth Proportional to 206,618.77, 309,786.66 and 105,220.54

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Solution

The fourth proportional to 206,618.77, 309,786.66 and 105,220.54 is: 157,758.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,618.77 : 309,786.66 = 105,220.54 : x
  2. Step 2: Convert to fraction form
    206,618.77/309,786.66 = 105,220.54/x
  3. Step 3: Cross multiply
    206,618.77x = 309,786.66 × 105,220.54
  4. Step 4: Simplify right side
    206,618.77x = 32,595,919,650.00
  5. Step 5: Solve for x
    x = 32,595,919,650.00/206,618.77
  6. Step 6: Final answer
    x = 157,758.75

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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.