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Finding the Fourth Proportional to 188,976.56, 282,755.08 and 115,687.60

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Solution

The fourth proportional to 188,976.56, 282,755.08 and 115,687.60 is: 173,096.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,976.56 : 282,755.08 = 115,687.60 : x
  2. Step 2: Convert to fraction form
    188,976.56/282,755.08 = 115,687.60/x
  3. Step 3: Cross multiply
    188,976.56x = 282,755.08 × 115,687.60
  4. Step 4: Simplify right side
    188,976.56x = 32,711,256,593.01
  5. Step 5: Solve for x
    x = 32,711,256,593.01/188,976.56
  6. Step 6: Final answer
    x = 173,096.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.