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Finding the Fourth Proportional to 165,195.60, 227,970.20 and 89,744.16

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Solution

The fourth proportional to 165,195.60, 227,970.20 and 89,744.16 is: 123,847.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,195.60 : 227,970.20 = 89,744.16 : x
  2. Step 2: Convert to fraction form
    165,195.60/227,970.20 = 89,744.16/x
  3. Step 3: Cross multiply
    165,195.60x = 227,970.20 × 89,744.16
  4. Step 4: Simplify right side
    165,195.60x = 20,458,994,104.03
  5. Step 5: Solve for x
    x = 20,458,994,104.03/165,195.60
  6. Step 6: Final answer
    x = 123,847.09

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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.