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Finding the Fourth Proportional to 149,884.59, 224,982.60 and 100,311.10

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Solution

The fourth proportional to 149,884.59, 224,982.60 and 100,311.10 is: 150,570.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,884.59 : 224,982.60 = 100,311.10 : x
  2. Step 2: Convert to fraction form
    149,884.59/224,982.60 = 100,311.10/x
  3. Step 3: Cross multiply
    149,884.59x = 224,982.60 × 100,311.10
  4. Step 4: Simplify right side
    149,884.59x = 22,568,252,744.25
  5. Step 5: Solve for x
    x = 22,568,252,744.25/149,884.59
  6. Step 6: Final answer
    x = 150,570.87

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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.