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Finding the Fourth Proportional to 201,144.20, 301,716.03 and 51,384.60

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Solution

The fourth proportional to 201,144.20, 301,716.03 and 51,384.60 is: 77,076.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,144.20 : 301,716.03 = 51,384.60 : x
  2. Step 2: Convert to fraction form
    201,144.20/301,716.03 = 51,384.60/x
  3. Step 3: Cross multiply
    201,144.20x = 301,716.03 × 51,384.60
  4. Step 4: Simplify right side
    201,144.20x = 15,503,557,515.14
  5. Step 5: Solve for x
    x = 15,503,557,515.14/201,144.20
  6. Step 6: Final answer
    x = 77,076.83

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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.