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Finding the Fourth Proportional to 154,136, 231,204 and 37,400

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Solution

The fourth proportional to 154,136, 231,204 and 37,400 is: 56,100

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,136 : 231,204 = 37,400 : x
  2. Step 2: Convert to fraction form
    154,136/231,204 = 37,400/x
  3. Step 3: Cross multiply
    154,136x = 231,204 × 37,400
  4. Step 4: Simplify right side
    154,136x = 8,647,029,600
  5. Step 5: Solve for x
    x = 8,647,029,600/154,136
  6. Step 6: Final answer
    x = 56,100

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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.