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Finding the Fourth Proportional to 494,109.89, 741,157.02 and 157,145.68

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Solution

The fourth proportional to 494,109.89, 741,157.02 and 157,145.68 is: 235,716.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,109.89 : 741,157.02 = 157,145.68 : x
  2. Step 2: Convert to fraction form
    494,109.89/741,157.02 = 157,145.68/x
  3. Step 3: Cross multiply
    494,109.89x = 741,157.02 × 157,145.68
  4. Step 4: Simplify right side
    494,109.89x = 116,469,622,041.78
  5. Step 5: Solve for x
    x = 116,469,622,041.78/494,109.89
  6. Step 6: Final answer
    x = 235,716.03

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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.