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Finding the Fourth Proportional to 149,493.24, 206,183.88 and 95,783.49

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Solution

The fourth proportional to 149,493.24, 206,183.88 and 95,783.49 is: 132,106.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,493.24 : 206,183.88 = 95,783.49 : x
  2. Step 2: Convert to fraction form
    149,493.24/206,183.88 = 95,783.49/x
  3. Step 3: Cross multiply
    149,493.24x = 206,183.88 × 95,783.49
  4. Step 4: Simplify right side
    149,493.24x = 19,749,011,608.14
  5. Step 5: Solve for x
    x = 19,749,011,608.14/149,493.24
  6. Step 6: Final answer
    x = 132,106.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.