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Finding the Fourth Proportional to 150,480.76, 225,721.50 and 38,161

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Solution

The fourth proportional to 150,480.76, 225,721.50 and 38,161 is: 57,241.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,480.76 : 225,721.50 = 38,161 : x
  2. Step 2: Convert to fraction form
    150,480.76/225,721.50 = 38,161/x
  3. Step 3: Cross multiply
    150,480.76x = 225,721.50 × 38,161
  4. Step 4: Simplify right side
    150,480.76x = 8,613,758,161.50
  5. Step 5: Solve for x
    x = 8,613,758,161.50/150,480.76
  6. Step 6: Final answer
    x = 57,241.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.