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Finding the Fourth Proportional to 120,775.74, 181,105.09 and 50,636.22

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Solution

The fourth proportional to 120,775.74, 181,105.09 and 50,636.22 is: 75,929.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,775.74 : 181,105.09 = 50,636.22 : x
  2. Step 2: Convert to fraction form
    120,775.74/181,105.09 = 50,636.22/x
  3. Step 3: Cross multiply
    120,775.74x = 181,105.09 × 50,636.22
  4. Step 4: Simplify right side
    120,775.74x = 9,170,477,180.36
  5. Step 5: Solve for x
    x = 9,170,477,180.36/120,775.74
  6. Step 6: Final answer
    x = 75,929.80

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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.