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Finding the Fourth Proportional to 299,574.90, 449,493.03 and 159,169.14

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Solution

The fourth proportional to 299,574.90, 449,493.03 and 159,169.14 is: 238,823.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,574.90 : 449,493.03 = 159,169.14 : x
  2. Step 2: Convert to fraction form
    299,574.90/449,493.03 = 159,169.14/x
  3. Step 3: Cross multiply
    299,574.90x = 449,493.03 × 159,169.14
  4. Step 4: Simplify right side
    299,574.90x = 71,545,419,021.09
  5. Step 5: Solve for x
    x = 71,545,419,021.09/299,574.90
  6. Step 6: Final answer
    x = 238,823.14

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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.