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Finding the Fourth Proportional to 203,474.40, 305,357.40 and 114,633.60

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Solution

The fourth proportional to 203,474.40, 305,357.40 and 114,633.60 is: 172,032.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,474.40 : 305,357.40 = 114,633.60 : x
  2. Step 2: Convert to fraction form
    203,474.40/305,357.40 = 114,633.60/x
  3. Step 3: Cross multiply
    203,474.40x = 305,357.40 × 114,633.60
  4. Step 4: Simplify right side
    203,474.40x = 35,004,218,048.64
  5. Step 5: Solve for x
    x = 35,004,218,048.64/203,474.40
  6. Step 6: Final answer
    x = 172,032.54

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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.