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Finding the Fourth Proportional to 165,012, 227,720.64 and 89,560.32

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Solution

The fourth proportional to 165,012, 227,720.64 and 89,560.32 is: 123,595.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,012 : 227,720.64 = 89,560.32 : x
  2. Step 2: Convert to fraction form
    165,012/227,720.64 = 89,560.32/x
  3. Step 3: Cross multiply
    165,012x = 227,720.64 × 89,560.32
  4. Step 4: Simplify right side
    165,012x = 20,394,733,389.00
  5. Step 5: Solve for x
    x = 20,394,733,389.00/165,012
  6. Step 6: Final answer
    x = 123,595.46

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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.