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Finding the Fourth Proportional to 299,926.26, 449,798.54 and 157,694.85

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Solution

The fourth proportional to 299,926.26, 449,798.54 and 157,694.85 is: 236,494.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,926.26 : 449,798.54 = 157,694.85 : x
  2. Step 2: Convert to fraction form
    299,926.26/449,798.54 = 157,694.85/x
  3. Step 3: Cross multiply
    299,926.26x = 449,798.54 × 157,694.85
  4. Step 4: Simplify right side
    299,926.26x = 70,930,912,507.04
  5. Step 5: Solve for x
    x = 70,930,912,507.04/299,926.26
  6. Step 6: Final answer
    x = 236,494.51

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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.