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Finding the Fourth Proportional to 120,272.84, 180,312.04 and 50,204.60

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Solution

The fourth proportional to 120,272.84, 180,312.04 and 50,204.60 is: 75,266.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,272.84 : 180,312.04 = 50,204.60 : x
  2. Step 2: Convert to fraction form
    120,272.84/180,312.04 = 50,204.60/x
  3. Step 3: Cross multiply
    120,272.84x = 180,312.04 × 50,204.60
  4. Step 4: Simplify right side
    120,272.84x = 9,052,493,843.38
  5. Step 5: Solve for x
    x = 9,052,493,843.38/120,272.84
  6. Step 6: Final answer
    x = 75,266.32

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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.