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Finding the Fourth Proportional to 120,220.99, 180,214.30 and 50,120.35

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Solution

The fourth proportional to 120,220.99, 180,214.30 and 50,120.35 is: 75,131.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,220.99 : 180,214.30 = 50,120.35 : x
  2. Step 2: Convert to fraction form
    120,220.99/180,214.30 = 50,120.35/x
  3. Step 3: Cross multiply
    120,220.99x = 180,214.30 × 50,120.35
  4. Step 4: Simplify right side
    120,220.99x = 9,032,403,791.01
  5. Step 5: Solve for x
    x = 9,032,403,791.01/120,220.99
  6. Step 6: Final answer
    x = 75,131.67

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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.