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Finding the Fourth Proportional to 300,136.85, 414,173.39 and 164,144.33

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Solution

The fourth proportional to 300,136.85, 414,173.39 and 164,144.33 is: 226,510.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,136.85 : 414,173.39 = 164,144.33 : x
  2. Step 2: Convert to fraction form
    300,136.85/414,173.39 = 164,144.33/x
  3. Step 3: Cross multiply
    300,136.85x = 414,173.39 × 164,144.33
  4. Step 4: Simplify right side
    300,136.85x = 67,984,210,713.79
  5. Step 5: Solve for x
    x = 67,984,210,713.79/300,136.85
  6. Step 6: Final answer
    x = 226,510.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.