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Finding the Fourth Proportional to 204,922.80, 307,277.82 and 78,525.54

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Solution

The fourth proportional to 204,922.80, 307,277.82 and 78,525.54 is: 117,747.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,922.80 : 307,277.82 = 78,525.54 : x
  2. Step 2: Convert to fraction form
    204,922.80/307,277.82 = 78,525.54/x
  3. Step 3: Cross multiply
    204,922.80x = 307,277.82 × 78,525.54
  4. Step 4: Simplify right side
    204,922.80x = 24,129,156,745.52
  5. Step 5: Solve for x
    x = 24,129,156,745.52/204,922.80
  6. Step 6: Final answer
    x = 117,747.55

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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.