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Finding the Fourth Proportional to 150,480.71, 225,734.94 and 54,441.95

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Solution

The fourth proportional to 150,480.71, 225,734.94 and 54,441.95 is: 81,667.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,480.71 : 225,734.94 = 54,441.95 : x
  2. Step 2: Convert to fraction form
    150,480.71/225,734.94 = 54,441.95/x
  3. Step 3: Cross multiply
    150,480.71x = 225,734.94 × 54,441.95
  4. Step 4: Simplify right side
    150,480.71x = 12,289,450,316.73
  5. Step 5: Solve for x
    x = 12,289,450,316.73/150,480.71
  6. Step 6: Final answer
    x = 81,667.94

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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.