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Finding the Fourth Proportional to 206,323.56, 284,744.04 and 119,136.72

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Solution

The fourth proportional to 206,323.56, 284,744.04 and 119,136.72 is: 164,418.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,323.56 : 284,744.04 = 119,136.72 : x
  2. Step 2: Convert to fraction form
    206,323.56/284,744.04 = 119,136.72/x
  3. Step 3: Cross multiply
    206,323.56x = 284,744.04 × 119,136.72
  4. Step 4: Simplify right side
    206,323.56x = 33,923,470,965.15
  5. Step 5: Solve for x
    x = 33,923,470,965.15/206,323.56
  6. Step 6: Final answer
    x = 164,418.79

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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.