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Finding the Fourth Proportional to 120,198.84, 180,284.46 and 31,460.94

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Solution

The fourth proportional to 120,198.84, 180,284.46 and 31,460.94 is: 47,187.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,198.84 : 180,284.46 = 31,460.94 : x
  2. Step 2: Convert to fraction form
    120,198.84/180,284.46 = 31,460.94/x
  3. Step 3: Cross multiply
    120,198.84x = 180,284.46 × 31,460.94
  4. Step 4: Simplify right side
    120,198.84x = 5,671,918,578.99
  5. Step 5: Solve for x
    x = 5,671,918,578.99/120,198.84
  6. Step 6: Final answer
    x = 47,187.80

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