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Finding the Fourth Proportional to 206,240.85, 284,079.99 and 145,706.41

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Solution

The fourth proportional to 206,240.85, 284,079.99 and 145,706.41 is: 200,698.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,240.85 : 284,079.99 = 145,706.41 : x
  2. Step 2: Convert to fraction form
    206,240.85/284,079.99 = 145,706.41/x
  3. Step 3: Cross multiply
    206,240.85x = 284,079.99 × 145,706.41
  4. Step 4: Simplify right side
    206,240.85x = 41,392,276,397.23
  5. Step 5: Solve for x
    x = 41,392,276,397.23/206,240.85
  6. Step 6: Final answer
    x = 200,698.73

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