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Finding the Fourth Proportional to 344,136.87, 516,205.30 and 133,824.01

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Solution

The fourth proportional to 344,136.87, 516,205.30 and 133,824.01 is: 200,736.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,136.87 : 516,205.30 = 133,824.01 : x
  2. Step 2: Convert to fraction form
    344,136.87/516,205.30 = 133,824.01/x
  3. Step 3: Cross multiply
    344,136.87x = 516,205.30 × 133,824.01
  4. Step 4: Simplify right side
    344,136.87x = 69,080,663,229.25
  5. Step 5: Solve for x
    x = 69,080,663,229.25/344,136.87
  6. Step 6: Final answer
    x = 200,736.01

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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.