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Finding the Fourth Proportional to 200,964.22, 301,505.55 and 80,959.42

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Solution

The fourth proportional to 200,964.22, 301,505.55 and 80,959.42 is: 121,462.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,964.22 : 301,505.55 = 80,959.42 : x
  2. Step 2: Convert to fraction form
    200,964.22/301,505.55 = 80,959.42/x
  3. Step 3: Cross multiply
    200,964.22x = 301,505.55 × 80,959.42
  4. Step 4: Simplify right side
    200,964.22x = 24,409,714,049.98
  5. Step 5: Solve for x
    x = 24,409,714,049.98/200,964.22
  6. Step 6: Final answer
    x = 121,462.99

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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.