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Finding the Fourth Proportional to 206,205.50, 284,563.60 and 116,781.50

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Solution

The fourth proportional to 206,205.50, 284,563.60 and 116,781.50 is: 161,158.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,205.50 : 284,563.60 = 116,781.50 : x
  2. Step 2: Convert to fraction form
    206,205.50/284,563.60 = 116,781.50/x
  3. Step 3: Cross multiply
    206,205.50x = 284,563.60 × 116,781.50
  4. Step 4: Simplify right side
    206,205.50x = 33,231,764,053.40
  5. Step 5: Solve for x
    x = 33,231,764,053.40/206,205.50
  6. Step 6: Final answer
    x = 161,158.48

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1.5x scale

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.