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Finding the Fourth Proportional to 165,144.98, 227,901.24 and 89,693.48

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Solution

The fourth proportional to 165,144.98, 227,901.24 and 89,693.48 is: 123,777.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,144.98 : 227,901.24 = 89,693.48 : x
  2. Step 2: Convert to fraction form
    165,144.98/227,901.24 = 89,693.48/x
  3. Step 3: Cross multiply
    165,144.98x = 227,901.24 × 89,693.48
  4. Step 4: Simplify right side
    165,144.98x = 20,441,255,311.92
  5. Step 5: Solve for x
    x = 20,441,255,311.92/165,144.98
  6. Step 6: Final answer
    x = 123,777.64

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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.