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Finding the Fourth Proportional to 299,962.54, 449,967.73 and 100,283.97

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Solution

The fourth proportional to 299,962.54, 449,967.73 and 100,283.97 is: 150,433.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,962.54 : 449,967.73 = 100,283.97 : x
  2. Step 2: Convert to fraction form
    299,962.54/449,967.73 = 100,283.97/x
  3. Step 3: Cross multiply
    299,962.54x = 449,967.73 × 100,283.97
  4. Step 4: Simplify right side
    299,962.54x = 45,124,552,243.04
  5. Step 5: Solve for x
    x = 45,124,552,243.04/299,962.54
  6. Step 6: Final answer
    x = 150,433.96

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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.