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Finding the Fourth Proportional to 299,846.88, 449,617.50 and 100,095.48

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Solution

The fourth proportional to 299,846.88, 449,617.50 and 100,095.48 is: 150,092.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,846.88 : 449,617.50 = 100,095.48 : x
  2. Step 2: Convert to fraction form
    299,846.88/449,617.50 = 100,095.48/x
  3. Step 3: Cross multiply
    299,846.88x = 449,617.50 × 100,095.48
  4. Step 4: Simplify right side
    299,846.88x = 45,004,679,478.90
  5. Step 5: Solve for x
    x = 45,004,679,478.90/299,846.88
  6. Step 6: Final answer
    x = 150,092.21

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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.