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Finding the Fourth Proportional to 489,021.54, 733,453.62 and 133,952.55

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Solution

The fourth proportional to 489,021.54, 733,453.62 and 133,952.55 is: 200,907.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,021.54 : 733,453.62 = 133,952.55 : x
  2. Step 2: Convert to fraction form
    489,021.54/733,453.62 = 133,952.55/x
  3. Step 3: Cross multiply
    489,021.54x = 733,453.62 × 133,952.55
  4. Step 4: Simplify right side
    489,021.54x = 98,247,982,705.73
  5. Step 5: Solve for x
    x = 98,247,982,705.73/489,021.54
  6. Step 6: Final answer
    x = 200,907.27

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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.