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Finding the Fourth Proportional to 201,474.54, 301,830.82 and 119,069.85

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Solution

The fourth proportional to 201,474.54, 301,830.82 and 119,069.85 is: 178,379.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,474.54 : 301,830.82 = 119,069.85 : x
  2. Step 2: Convert to fraction form
    201,474.54/301,830.82 = 119,069.85/x
  3. Step 3: Cross multiply
    201,474.54x = 301,830.82 × 119,069.85
  4. Step 4: Simplify right side
    201,474.54x = 35,938,950,462.78
  5. Step 5: Solve for x
    x = 35,938,950,462.78/201,474.54
  6. Step 6: Final answer
    x = 178,379.61

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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.