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Finding the Fourth Proportional to 418,026.26, 627,205.53 and 133,760.60

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Solution

The fourth proportional to 418,026.26, 627,205.53 and 133,760.60 is: 200,694.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,026.26 : 627,205.53 = 133,760.60 : x
  2. Step 2: Convert to fraction form
    418,026.26/627,205.53 = 133,760.60/x
  3. Step 3: Cross multiply
    418,026.26x = 627,205.53 × 133,760.60
  4. Step 4: Simplify right side
    418,026.26x = 83,895,388,016.12
  5. Step 5: Solve for x
    x = 83,895,388,016.12/418,026.26
  6. Step 6: Final answer
    x = 200,694.06

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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.