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Finding the Fourth Proportional to 203,851.69, 305,832.92 and 70,742.33

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Solution

The fourth proportional to 203,851.69, 305,832.92 and 70,742.33 is: 106,132.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,851.69 : 305,832.92 = 70,742.33 : x
  2. Step 2: Convert to fraction form
    203,851.69/305,832.92 = 70,742.33/x
  3. Step 3: Cross multiply
    203,851.69x = 305,832.92 × 70,742.33
  4. Step 4: Simplify right side
    203,851.69x = 21,635,332,615.50
  5. Step 5: Solve for x
    x = 21,635,332,615.50/203,851.69
  6. Step 6: Final answer
    x = 106,132.71

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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.