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Finding the Fourth Proportional to 150,381, 225,571.50 and 45,200.07

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Solution

The fourth proportional to 150,381, 225,571.50 and 45,200.07 is: 67,800.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,381 : 225,571.50 = 45,200.07 : x
  2. Step 2: Convert to fraction form
    150,381/225,571.50 = 45,200.07/x
  3. Step 3: Cross multiply
    150,381x = 225,571.50 × 45,200.07
  4. Step 4: Simplify right side
    150,381x = 10,195,847,590.01
  5. Step 5: Solve for x
    x = 10,195,847,590.01/150,381
  6. Step 6: Final answer
    x = 67,800.11

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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.