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Finding the Fourth Proportional to 202,323.40, 303,485.10 and 149,179.30

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Solution

The fourth proportional to 202,323.40, 303,485.10 and 149,179.30 is: 223,768.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,323.40 : 303,485.10 = 149,179.30 : x
  2. Step 2: Convert to fraction form
    202,323.40/303,485.10 = 149,179.30/x
  3. Step 3: Cross multiply
    202,323.40x = 303,485.10 × 149,179.30
  4. Step 4: Simplify right side
    202,323.40x = 45,273,694,778.43
  5. Step 5: Solve for x
    x = 45,273,694,778.43/202,323.40
  6. Step 6: Final answer
    x = 223,768.95

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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.