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Finding the Fourth Proportional to 299,757.45, 449,857.91 and 141,986.26

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Solution

The fourth proportional to 299,757.45, 449,857.91 and 141,986.26 is: 213,084.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,757.45 : 449,857.91 = 141,986.26 : x
  2. Step 2: Convert to fraction form
    299,757.45/449,857.91 = 141,986.26/x
  3. Step 3: Cross multiply
    299,757.45x = 449,857.91 × 141,986.26
  4. Step 4: Simplify right side
    299,757.45x = 63,873,642,172.32
  5. Step 5: Solve for x
    x = 63,873,642,172.32/299,757.45
  6. Step 6: Final answer
    x = 213,084.42

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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.