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Finding the Fourth Proportional to 206,270.20, 284,598 and 119,033.20

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Solution

The fourth proportional to 206,270.20, 284,598 and 119,033.20 is: 164,234.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,270.20 : 284,598 = 119,033.20 : x
  2. Step 2: Convert to fraction form
    206,270.20/284,598 = 119,033.20/x
  3. Step 3: Cross multiply
    206,270.20x = 284,598 × 119,033.20
  4. Step 4: Simplify right side
    206,270.20x = 33,876,610,653.60
  5. Step 5: Solve for x
    x = 33,876,610,653.60/206,270.20
  6. Step 6: Final answer
    x = 164,234.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.