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Finding the Fourth Proportional to 150,604.38, 225,939.96 and 45,415.76

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Solution

The fourth proportional to 150,604.38, 225,939.96 and 45,415.76 is: 68,133.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,604.38 : 225,939.96 = 45,415.76 : x
  2. Step 2: Convert to fraction form
    150,604.38/225,939.96 = 45,415.76/x
  3. Step 3: Cross multiply
    150,604.38x = 225,939.96 × 45,415.76
  4. Step 4: Simplify right side
    150,604.38x = 10,261,233,868.07
  5. Step 5: Solve for x
    x = 10,261,233,868.07/150,604.38
  6. Step 6: Final answer
    x = 68,133.70

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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.