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Finding the Fourth Proportional to 165,027, 227,741.34 and 89,575.32

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Solution

The fourth proportional to 165,027, 227,741.34 and 89,575.32 is: 123,616.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,027 : 227,741.34 = 89,575.32 : x
  2. Step 2: Convert to fraction form
    165,027/227,741.34 = 89,575.32/x
  3. Step 3: Cross multiply
    165,027x = 227,741.34 × 89,575.32
  4. Step 4: Simplify right side
    165,027x = 20,400,003,407.73
  5. Step 5: Solve for x
    x = 20,400,003,407.73/165,027
  6. Step 6: Final answer
    x = 123,616.16

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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.