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Finding the Fourth Proportional to 418,125.26, 627,196.26 and 133,870.07

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Solution

The fourth proportional to 418,125.26, 627,196.26 and 133,870.07 is: 200,807.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,125.26 : 627,196.26 = 133,870.07 : x
  2. Step 2: Convert to fraction form
    418,125.26/627,196.26 = 133,870.07/x
  3. Step 3: Cross multiply
    418,125.26x = 627,196.26 × 133,870.07
  4. Step 4: Simplify right side
    418,125.26x = 83,962,807,229.94
  5. Step 5: Solve for x
    x = 83,962,807,229.94/418,125.26
  6. Step 6: Final answer
    x = 200,807.78

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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.