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Finding the Fourth Proportional to 203,474.40, 305,211.60 and 164,108.40

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Solution

The fourth proportional to 203,474.40, 305,211.60 and 164,108.40 is: 246,162.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,474.40 : 305,211.60 = 164,108.40 : x
  2. Step 2: Convert to fraction form
    203,474.40/305,211.60 = 164,108.40/x
  3. Step 3: Cross multiply
    203,474.40x = 305,211.60 × 164,108.40
  4. Step 4: Simplify right side
    203,474.40x = 50,087,787,337.44
  5. Step 5: Solve for x
    x = 50,087,787,337.44/203,474.40
  6. Step 6: Final answer
    x = 246,162.60

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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.