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Finding the Fourth Proportional to 165,051, 227,769.82 and 89,598.96

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Solution

The fourth proportional to 165,051, 227,769.82 and 89,598.96 is: 123,646.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,051 : 227,769.82 = 89,598.96 : x
  2. Step 2: Convert to fraction form
    165,051/227,769.82 = 89,598.96/x
  3. Step 3: Cross multiply
    165,051x = 227,769.82 × 89,598.96
  4. Step 4: Simplify right side
    165,051x = 20,407,938,991.39
  5. Step 5: Solve for x
    x = 20,407,938,991.39/165,051
  6. Step 6: Final answer
    x = 123,646.26

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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.