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Finding the Fourth Proportional to 299,855.17, 449,505.95 and 149,965.02

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Solution

The fourth proportional to 299,855.17, 449,505.95 and 149,965.02 is: 224,809.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,855.17 : 449,505.95 = 149,965.02 : x
  2. Step 2: Convert to fraction form
    299,855.17/449,505.95 = 149,965.02/x
  3. Step 3: Cross multiply
    299,855.17x = 449,505.95 × 149,965.02
  4. Step 4: Simplify right side
    299,855.17x = 67,410,170,280.55
  5. Step 5: Solve for x
    x = 67,410,170,280.55/299,855.17
  6. Step 6: Final answer
    x = 224,809.10

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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.