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Finding the Fourth Proportional to 120,422.52, 180,633.78 and 50,263.56

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Solution

The fourth proportional to 120,422.52, 180,633.78 and 50,263.56 is: 75,395.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,422.52 : 180,633.78 = 50,263.56 : x
  2. Step 2: Convert to fraction form
    120,422.52/180,633.78 = 50,263.56/x
  3. Step 3: Cross multiply
    120,422.52x = 180,633.78 × 50,263.56
  4. Step 4: Simplify right side
    120,422.52x = 9,079,296,839.06
  5. Step 5: Solve for x
    x = 9,079,296,839.06/120,422.52
  6. Step 6: Final answer
    x = 75,395.34

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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.