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Finding the Fourth Proportional to 150,107.41, 225,418.70 and 133,278.45

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Solution

The fourth proportional to 150,107.41, 225,418.70 and 133,278.45 is: 200,146.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,107.41 : 225,418.70 = 133,278.45 : x
  2. Step 2: Convert to fraction form
    150,107.41/225,418.70 = 133,278.45/x
  3. Step 3: Cross multiply
    150,107.41x = 225,418.70 × 133,278.45
  4. Step 4: Simplify right side
    150,107.41x = 30,043,454,937.02
  5. Step 5: Solve for x
    x = 30,043,454,937.02/150,107.41
  6. Step 6: Final answer
    x = 200,146.38

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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.