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Finding the Fourth Proportional to 201,136.50, 301,704.62 and 51,371.42

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Solution

The fourth proportional to 201,136.50, 301,704.62 and 51,371.42 is: 77,057.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,136.50 : 301,704.62 = 51,371.42 : x
  2. Step 2: Convert to fraction form
    201,136.50/301,704.62 = 51,371.42/x
  3. Step 3: Cross multiply
    201,136.50x = 301,704.62 × 51,371.42
  4. Step 4: Simplify right side
    201,136.50x = 15,498,992,984.58
  5. Step 5: Solve for x
    x = 15,498,992,984.58/201,136.50
  6. Step 6: Final answer
    x = 77,057.09

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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.