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Finding the Fourth Proportional to 225,704.26, 311,469.60 and 123,735.34

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Solution

The fourth proportional to 225,704.26, 311,469.60 and 123,735.34 is: 170,753.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,704.26 : 311,469.60 = 123,735.34 : x
  2. Step 2: Convert to fraction form
    225,704.26/311,469.60 = 123,735.34/x
  3. Step 3: Cross multiply
    225,704.26x = 311,469.60 × 123,735.34
  4. Step 4: Simplify right side
    225,704.26x = 38,539,796,855.66
  5. Step 5: Solve for x
    x = 38,539,796,855.66/225,704.26
  6. Step 6: Final answer
    x = 170,753.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.