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Finding the Fourth Proportional to 299,252.02, 448,951.20 and 99,571.90

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Solution

The fourth proportional to 299,252.02, 448,951.20 and 99,571.90 is: 149,382.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,252.02 : 448,951.20 = 99,571.90 : x
  2. Step 2: Convert to fraction form
    299,252.02/448,951.20 = 99,571.90/x
  3. Step 3: Cross multiply
    299,252.02x = 448,951.20 × 99,571.90
  4. Step 4: Simplify right side
    299,252.02x = 44,702,923,991.28
  5. Step 5: Solve for x
    x = 44,702,923,991.28/299,252.02
  6. Step 6: Final answer
    x = 149,382.20

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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.