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Finding the Fourth Proportional to 442,193.25, 663,175.05 and 126,576.34

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Solution

The fourth proportional to 442,193.25, 663,175.05 and 126,576.34 is: 189,831.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,193.25 : 663,175.05 = 126,576.34 : x
  2. Step 2: Convert to fraction form
    442,193.25/663,175.05 = 126,576.34/x
  3. Step 3: Cross multiply
    442,193.25x = 663,175.05 × 126,576.34
  4. Step 4: Simplify right side
    442,193.25x = 83,942,270,608.32
  5. Step 5: Solve for x
    x = 83,942,270,608.32/442,193.25
  6. Step 6: Final answer
    x = 189,831.64

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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.