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Finding the Fourth Proportional to 120,857.28, 181,314.14 and 36,618.09

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Solution

The fourth proportional to 120,857.28, 181,314.14 and 36,618.09 is: 54,935.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,857.28 : 181,314.14 = 36,618.09 : x
  2. Step 2: Convert to fraction form
    120,857.28/181,314.14 = 36,618.09/x
  3. Step 3: Cross multiply
    120,857.28x = 181,314.14 × 36,618.09
  4. Step 4: Simplify right side
    120,857.28x = 6,639,377,313.70
  5. Step 5: Solve for x
    x = 6,639,377,313.70/120,857.28
  6. Step 6: Final answer
    x = 54,935.68

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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.