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Finding the Fourth Proportional to 203,404.71, 305,067.39 and 149,596.31

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Solution

The fourth proportional to 203,404.71, 305,067.39 and 149,596.31 is: 224,365.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,404.71 : 305,067.39 = 149,596.31 : x
  2. Step 2: Convert to fraction form
    203,404.71/305,067.39 = 149,596.31/x
  3. Step 3: Cross multiply
    203,404.71x = 305,067.39 × 149,596.31
  4. Step 4: Simplify right side
    203,404.71x = 45,636,954,319.99
  5. Step 5: Solve for x
    x = 45,636,954,319.99/203,404.71
  6. Step 6: Final answer
    x = 224,365.28

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1.5x scale

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.