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Finding the Fourth Proportional to 165,187.56, 227,957.58 and 89,736.60

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Solution

The fourth proportional to 165,187.56, 227,957.58 and 89,736.60 is: 123,835.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,187.56 : 227,957.58 = 89,736.60 : x
  2. Step 2: Convert to fraction form
    165,187.56/227,957.58 = 89,736.60/x
  3. Step 3: Cross multiply
    165,187.56x = 227,957.58 × 89,736.60
  4. Step 4: Simplify right side
    165,187.56x = 20,456,138,173.43
  5. Step 5: Solve for x
    x = 20,456,138,173.43/165,187.56
  6. Step 6: Final answer
    x = 123,835.83

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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.