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Finding the Fourth Proportional to 206,896.10, 310,344.15 and 197,273.30

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Solution

The fourth proportional to 206,896.10, 310,344.15 and 197,273.30 is: 295,909.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,896.10 : 310,344.15 = 197,273.30 : x
  2. Step 2: Convert to fraction form
    206,896.10/310,344.15 = 197,273.30/x
  3. Step 3: Cross multiply
    206,896.10x = 310,344.15 × 197,273.30
  4. Step 4: Simplify right side
    206,896.10x = 61,222,614,606.20
  5. Step 5: Solve for x
    x = 61,222,614,606.20/206,896.10
  6. Step 6: Final answer
    x = 295,909.95

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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.