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Finding the Fourth Proportional to 118,902.44, 178,334.22 and 35,777

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Solution

The fourth proportional to 118,902.44, 178,334.22 and 35,777 is: 53,659.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,902.44 : 178,334.22 = 35,777 : x
  2. Step 2: Convert to fraction form
    118,902.44/178,334.22 = 35,777/x
  3. Step 3: Cross multiply
    118,902.44x = 178,334.22 × 35,777
  4. Step 4: Simplify right side
    118,902.44x = 6,380,263,388.94
  5. Step 5: Solve for x
    x = 6,380,263,388.94/118,902.44
  6. Step 6: Final answer
    x = 53,659.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.