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Finding the Fourth Proportional to 150,117.84, 225,163.80 and 44,960.40

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Solution

The fourth proportional to 150,117.84, 225,163.80 and 44,960.40 is: 67,436.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,117.84 : 225,163.80 = 44,960.40 : x
  2. Step 2: Convert to fraction form
    150,117.84/225,163.80 = 44,960.40/x
  3. Step 3: Cross multiply
    150,117.84x = 225,163.80 × 44,960.40
  4. Step 4: Simplify right side
    150,117.84x = 10,123,454,513.52
  5. Step 5: Solve for x
    x = 10,123,454,513.52/150,117.84
  6. Step 6: Final answer
    x = 67,436.72

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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.