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Finding the Fourth Proportional to 149,662.62, 224,608.15 and 54,982.53

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Solution

The fourth proportional to 149,662.62, 224,608.15 and 54,982.53 is: 82,515.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,662.62 : 224,608.15 = 54,982.53 : x
  2. Step 2: Convert to fraction form
    149,662.62/224,608.15 = 54,982.53/x
  3. Step 3: Cross multiply
    149,662.62x = 224,608.15 × 54,982.53
  4. Step 4: Simplify right side
    149,662.62x = 12,349,524,208.16
  5. Step 5: Solve for x
    x = 12,349,524,208.16/149,662.62
  6. Step 6: Final answer
    x = 82,515.76

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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.