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Finding the Fourth Proportional to 150,652.86, 225,996.57 and 45,478.14

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Solution

The fourth proportional to 150,652.86, 225,996.57 and 45,478.14 is: 68,222.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,652.86 : 225,996.57 = 45,478.14 : x
  2. Step 2: Convert to fraction form
    150,652.86/225,996.57 = 45,478.14/x
  3. Step 3: Cross multiply
    150,652.86x = 225,996.57 × 45,478.14
  4. Step 4: Simplify right side
    150,652.86x = 10,277,903,649.98
  5. Step 5: Solve for x
    x = 10,277,903,649.98/150,652.86
  6. Step 6: Final answer
    x = 68,222.43

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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.