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Finding the Fourth Proportional to 299,851.38, 449,624.25 and 100,099.98

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Solution

The fourth proportional to 299,851.38, 449,624.25 and 100,099.98 is: 150,098.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,851.38 : 449,624.25 = 100,099.98 : x
  2. Step 2: Convert to fraction form
    299,851.38/449,624.25 = 100,099.98/x
  3. Step 3: Cross multiply
    299,851.38x = 449,624.25 × 100,099.98
  4. Step 4: Simplify right side
    299,851.38x = 45,007,378,432.52
  5. Step 5: Solve for x
    x = 45,007,378,432.52/299,851.38
  6. Step 6: Final answer
    x = 150,098.95

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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.