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Finding the Fourth Proportional to 203,896.40, 305,844.60 and 147,617.60

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Solution

The fourth proportional to 203,896.40, 305,844.60 and 147,617.60 is: 221,426.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,896.40 : 305,844.60 = 147,617.60 : x
  2. Step 2: Convert to fraction form
    203,896.40/305,844.60 = 147,617.60/x
  3. Step 3: Cross multiply
    203,896.40x = 305,844.60 × 147,617.60
  4. Step 4: Simplify right side
    203,896.40x = 45,148,045,824.96
  5. Step 5: Solve for x
    x = 45,148,045,824.96/203,896.40
  6. Step 6: Final answer
    x = 221,426.40

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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.