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Finding the Fourth Proportional to 165,060, 227,786.96 and 89,608.48

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Solution

The fourth proportional to 165,060, 227,786.96 and 89,608.48 is: 123,661.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,060 : 227,786.96 = 89,608.48 : x
  2. Step 2: Convert to fraction form
    165,060/227,786.96 = 89,608.48/x
  3. Step 3: Cross multiply
    165,060x = 227,786.96 × 89,608.48
  4. Step 4: Simplify right side
    165,060x = 20,411,643,249.42
  5. Step 5: Solve for x
    x = 20,411,643,249.42/165,060
  6. Step 6: Final answer
    x = 123,661.96

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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.