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Finding the Fourth Proportional to 203,906.40, 305,859.60 and 147,627.60

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Solution

The fourth proportional to 203,906.40, 305,859.60 and 147,627.60 is: 221,441.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,906.40 : 305,859.60 = 147,627.60 : x
  2. Step 2: Convert to fraction form
    203,906.40/305,859.60 = 147,627.60/x
  3. Step 3: Cross multiply
    203,906.40x = 305,859.60 × 147,627.60
  4. Step 4: Simplify right side
    203,906.40x = 45,153,318,684.96
  5. Step 5: Solve for x
    x = 45,153,318,684.96/203,906.40
  6. Step 6: Final answer
    x = 221,441.40

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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.