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Finding the Fourth Proportional to 205,101.59, 307,209.52 and 200,082.43

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Solution

The fourth proportional to 205,101.59, 307,209.52 and 200,082.43 is: 299,691.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,101.59 : 307,209.52 = 200,082.43 : x
  2. Step 2: Convert to fraction form
    205,101.59/307,209.52 = 200,082.43/x
  3. Step 3: Cross multiply
    205,101.59x = 307,209.52 × 200,082.43
  4. Step 4: Simplify right side
    205,101.59x = 61,467,226,012.50
  5. Step 5: Solve for x
    x = 61,467,226,012.50/205,101.59
  6. Step 6: Final answer
    x = 299,691.61

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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.