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Finding the Fourth Proportional to 120,198.84, 180,284.49 and 31,460.91

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Solution

The fourth proportional to 120,198.84, 180,284.49 and 31,460.91 is: 47,187.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,198.84 : 180,284.49 = 31,460.91 : x
  2. Step 2: Convert to fraction form
    120,198.84/180,284.49 = 31,460.91/x
  3. Step 3: Cross multiply
    120,198.84x = 180,284.49 × 31,460.91
  4. Step 4: Simplify right side
    120,198.84x = 5,671,914,114.29
  5. Step 5: Solve for x
    x = 5,671,914,114.29/120,198.84
  6. Step 6: Final answer
    x = 47,187.76

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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.