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Finding the Fourth Proportional to 120,771.68, 181,099.20 and 50,632.16

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Solution

The fourth proportional to 120,771.68, 181,099.20 and 50,632.16 is: 75,923.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,771.68 : 181,099.20 = 50,632.16 : x
  2. Step 2: Convert to fraction form
    120,771.68/181,099.20 = 50,632.16/x
  3. Step 3: Cross multiply
    120,771.68x = 181,099.20 × 50,632.16
  4. Step 4: Simplify right side
    120,771.68x = 9,169,443,670.27
  5. Step 5: Solve for x
    x = 9,169,443,670.27/120,771.68
  6. Step 6: Final answer
    x = 75,923.79

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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.