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Finding the Fourth Proportional to 203,868.80, 305,803.20 and 150,724.70

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Solution

The fourth proportional to 203,868.80, 305,803.20 and 150,724.70 is: 226,087.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,868.80 : 305,803.20 = 150,724.70 : x
  2. Step 2: Convert to fraction form
    203,868.80/305,803.20 = 150,724.70/x
  3. Step 3: Cross multiply
    203,868.80x = 305,803.20 × 150,724.70
  4. Step 4: Simplify right side
    203,868.80x = 46,092,095,579.04
  5. Step 5: Solve for x
    x = 46,092,095,579.04/203,868.80
  6. Step 6: Final answer
    x = 226,087.05

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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.