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Finding the Fourth Proportional to 120,433.77, 180,650.66 and 50,274.81

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Solution

The fourth proportional to 120,433.77, 180,650.66 and 50,274.81 is: 75,412.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,433.77 : 180,650.66 = 50,274.81 : x
  2. Step 2: Convert to fraction form
    120,433.77/180,650.66 = 50,274.81/x
  3. Step 3: Cross multiply
    120,433.77x = 180,650.66 × 50,274.81
  4. Step 4: Simplify right side
    120,433.77x = 9,082,177,356.50
  5. Step 5: Solve for x
    x = 9,082,177,356.50/120,433.77
  6. Step 6: Final answer
    x = 75,412.22

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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.