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Finding the Fourth Proportional to 150,880.89, 208,217.04 and 82,899.27

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Solution

The fourth proportional to 150,880.89, 208,217.04 and 82,899.27 is: 114,401.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,880.89 : 208,217.04 = 82,899.27 : x
  2. Step 2: Convert to fraction form
    150,880.89/208,217.04 = 82,899.27/x
  3. Step 3: Cross multiply
    150,880.89x = 208,217.04 × 82,899.27
  4. Step 4: Simplify right side
    150,880.89x = 17,261,040,617.56
  5. Step 5: Solve for x
    x = 17,261,040,617.56/150,880.89
  6. Step 6: Final answer
    x = 114,401.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.