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Finding the Fourth Proportional to 200,269.10, 300,514.36 and 82,023.42

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Solution

The fourth proportional to 200,269.10, 300,514.36 and 82,023.42 is: 123,080.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,269.10 : 300,514.36 = 82,023.42 : x
  2. Step 2: Convert to fraction form
    200,269.10/300,514.36 = 82,023.42/x
  3. Step 3: Cross multiply
    200,269.10x = 300,514.36 × 82,023.42
  4. Step 4: Simplify right side
    200,269.10x = 24,649,215,566.31
  5. Step 5: Solve for x
    x = 24,649,215,566.31/200,269.10
  6. Step 6: Final answer
    x = 123,080.47

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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.