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Finding the Fourth Proportional to 200,695.38, 300,598.92 and 82,006.62

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Solution

The fourth proportional to 200,695.38, 300,598.92 and 82,006.62 is: 122,828.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,695.38 : 300,598.92 = 82,006.62 : x
  2. Step 2: Convert to fraction form
    200,695.38/300,598.92 = 82,006.62/x
  3. Step 3: Cross multiply
    200,695.38x = 300,598.92 × 82,006.62
  4. Step 4: Simplify right side
    200,695.38x = 24,651,101,404.85
  5. Step 5: Solve for x
    x = 24,651,101,404.85/200,695.38
  6. Step 6: Final answer
    x = 122,828.44

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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.