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Finding the Fourth Proportional to 120,224.09, 180,352.53 and 50,087

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Solution

The fourth proportional to 120,224.09, 180,352.53 and 50,087 is: 75,137.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,224.09 : 180,352.53 = 50,087 : x
  2. Step 2: Convert to fraction form
    120,224.09/180,352.53 = 50,087/x
  3. Step 3: Cross multiply
    120,224.09x = 180,352.53 × 50,087
  4. Step 4: Simplify right side
    120,224.09x = 9,033,317,170.11
  5. Step 5: Solve for x
    x = 9,033,317,170.11/120,224.09
  6. Step 6: Final answer
    x = 75,137.33

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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.