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Finding the Fourth Proportional to 301,195.32, 451,794.56 and 101,517.45

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Solution

The fourth proportional to 301,195.32, 451,794.56 and 101,517.45 is: 152,276.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,195.32 : 451,794.56 = 101,517.45 : x
  2. Step 2: Convert to fraction form
    301,195.32/451,794.56 = 101,517.45/x
  3. Step 3: Cross multiply
    301,195.32x = 451,794.56 × 101,517.45
  4. Step 4: Simplify right side
    301,195.32x = 45,865,031,147.48
  5. Step 5: Solve for x
    x = 45,865,031,147.48/301,195.32
  6. Step 6: Final answer
    x = 152,276.71

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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.