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Finding the Fourth Proportional to 198,293.44, 273,645.44 and 107,649.56

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Solution

The fourth proportional to 198,293.44, 273,645.44 and 107,649.56 is: 148,556.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,293.44 : 273,645.44 = 107,649.56 : x
  2. Step 2: Convert to fraction form
    198,293.44/273,645.44 = 107,649.56/x
  3. Step 3: Cross multiply
    198,293.44x = 273,645.44 × 107,649.56
  4. Step 4: Simplify right side
    198,293.44x = 29,457,811,212.01
  5. Step 5: Solve for x
    x = 29,457,811,212.01/198,293.44
  6. Step 6: Final answer
    x = 148,556.66

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1.5x scale

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.