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Finding the Fourth Proportional to 100,294.77, 150,441.89 and 25,414.70

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Solution

The fourth proportional to 100,294.77, 150,441.89 and 25,414.70 is: 38,121.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,294.77 : 150,441.89 = 25,414.70 : x
  2. Step 2: Convert to fraction form
    100,294.77/150,441.89 = 25,414.70/x
  3. Step 3: Cross multiply
    100,294.77x = 150,441.89 × 25,414.70
  4. Step 4: Simplify right side
    100,294.77x = 3,823,435,501.78
  5. Step 5: Solve for x
    x = 3,823,435,501.78/100,294.77
  6. Step 6: Final answer
    x = 38,121.98

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1.5x scale

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.