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Finding the Fourth Proportional to 120,443.72, 180,632.46 and 50,311.40

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Solution

The fourth proportional to 120,443.72, 180,632.46 and 50,311.40 is: 75,453.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,443.72 : 180,632.46 = 50,311.40 : x
  2. Step 2: Convert to fraction form
    120,443.72/180,632.46 = 50,311.40/x
  3. Step 3: Cross multiply
    120,443.72x = 180,632.46 × 50,311.40
  4. Step 4: Simplify right side
    120,443.72x = 9,087,871,948.04
  5. Step 5: Solve for x
    x = 9,087,871,948.04/120,443.72
  6. Step 6: Final answer
    x = 75,453.27

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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.