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Finding the Fourth Proportional to 180,201.33, 270,039.56 and 86,597.73

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Solution

The fourth proportional to 180,201.33, 270,039.56 and 86,597.73 is: 129,770.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,201.33 : 270,039.56 = 86,597.73 : x
  2. Step 2: Convert to fraction form
    180,201.33/270,039.56 = 86,597.73/x
  3. Step 3: Cross multiply
    180,201.33x = 270,039.56 × 86,597.73
  4. Step 4: Simplify right side
    180,201.33x = 23,384,812,473.21
  5. Step 5: Solve for x
    x = 23,384,812,473.21/180,201.33
  6. Step 6: Final answer
    x = 129,770.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.