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Finding the Fourth Proportional to 206,466.96, 284,943.24 and 125,898.96

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Solution

The fourth proportional to 206,466.96, 284,943.24 and 125,898.96 is: 173,752.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,466.96 : 284,943.24 = 125,898.96 : x
  2. Step 2: Convert to fraction form
    206,466.96/284,943.24 = 125,898.96/x
  3. Step 3: Cross multiply
    206,466.96x = 284,943.24 × 125,898.96
  4. Step 4: Simplify right side
    206,466.96x = 35,874,057,575.03
  5. Step 5: Solve for x
    x = 35,874,057,575.03/206,466.96
  6. Step 6: Final answer
    x = 173,752.05

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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.