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Finding the Fourth Proportional to 149,658.46, 224,439.28 and 49,791.84

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Solution

The fourth proportional to 149,658.46, 224,439.28 and 49,791.84 is: 74,671.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,658.46 : 224,439.28 = 49,791.84 : x
  2. Step 2: Convert to fraction form
    149,658.46/224,439.28 = 49,791.84/x
  3. Step 3: Cross multiply
    149,658.46x = 224,439.28 × 49,791.84
  4. Step 4: Simplify right side
    149,658.46x = 11,175,244,524.62
  5. Step 5: Solve for x
    x = 11,175,244,524.62/149,658.46
  6. Step 6: Final answer
    x = 74,671.65

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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.