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Finding the Fourth Proportional to 150,496.53, 225,768.05 and 50,648.89

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Solution

The fourth proportional to 150,496.53, 225,768.05 and 50,648.89 is: 75,981.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,496.53 : 225,768.05 = 50,648.89 : x
  2. Step 2: Convert to fraction form
    150,496.53/225,768.05 = 50,648.89/x
  3. Step 3: Cross multiply
    150,496.53x = 225,768.05 × 50,648.89
  4. Step 4: Simplify right side
    150,496.53x = 11,434,901,129.96
  5. Step 5: Solve for x
    x = 11,434,901,129.96/150,496.53
  6. Step 6: Final answer
    x = 75,981.16

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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.