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Finding the Fourth Proportional to 165,057, 227,781.42 and 89,605.50

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Solution

The fourth proportional to 165,057, 227,781.42 and 89,605.50 is: 123,657.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,057 : 227,781.42 = 89,605.50 : x
  2. Step 2: Convert to fraction form
    165,057/227,781.42 = 89,605.50/x
  3. Step 3: Cross multiply
    165,057x = 227,781.42 × 89,605.50
  4. Step 4: Simplify right side
    165,057x = 20,410,468,029.81
  5. Step 5: Solve for x
    x = 20,410,468,029.81/165,057
  6. Step 6: Final answer
    x = 123,657.09

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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.