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Finding the Fourth Proportional to 132,786.15, 199,241.41 and 66,231.41

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Solution

The fourth proportional to 132,786.15, 199,241.41 and 66,231.41 is: 99,378.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,786.15 : 199,241.41 = 66,231.41 : x
  2. Step 2: Convert to fraction form
    132,786.15/199,241.41 = 66,231.41/x
  3. Step 3: Cross multiply
    132,786.15x = 199,241.41 × 66,231.41
  4. Step 4: Simplify right side
    132,786.15x = 13,196,039,514.69
  5. Step 5: Solve for x
    x = 13,196,039,514.69/132,786.15
  6. Step 6: Final answer
    x = 99,378.13

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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.