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Finding the Fourth Proportional to 200,612.85, 301,035.92 and 82,369.05

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Solution

The fourth proportional to 200,612.85, 301,035.92 and 82,369.05 is: 123,601.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,612.85 : 301,035.92 = 82,369.05 : x
  2. Step 2: Convert to fraction form
    200,612.85/301,035.92 = 82,369.05/x
  3. Step 3: Cross multiply
    200,612.85x = 301,035.92 × 82,369.05
  4. Step 4: Simplify right side
    200,612.85x = 24,796,042,334.43
  5. Step 5: Solve for x
    x = 24,796,042,334.43/200,612.85
  6. Step 6: Final answer
    x = 123,601.47

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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.