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Finding the Fourth Proportional to 301,092.52, 451,638.96 and 76,469.80

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Solution

The fourth proportional to 301,092.52, 451,638.96 and 76,469.80 is: 114,704.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,092.52 : 451,638.96 = 76,469.80 : x
  2. Step 2: Convert to fraction form
    301,092.52/451,638.96 = 76,469.80/x
  3. Step 3: Cross multiply
    301,092.52x = 451,638.96 × 76,469.80
  4. Step 4: Simplify right side
    301,092.52x = 34,536,740,943.41
  5. Step 5: Solve for x
    x = 34,536,740,943.41/301,092.52
  6. Step 6: Final answer
    x = 114,704.75

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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.