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Finding the Fourth Proportional to 167,760.50, 231,433.22 and 99,738.90

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Solution

The fourth proportional to 167,760.50, 231,433.22 and 99,738.90 is: 137,594.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,760.50 : 231,433.22 = 99,738.90 : x
  2. Step 2: Convert to fraction form
    167,760.50/231,433.22 = 99,738.90/x
  3. Step 3: Cross multiply
    167,760.50x = 231,433.22 × 99,738.90
  4. Step 4: Simplify right side
    167,760.50x = 23,082,895,035.61
  5. Step 5: Solve for x
    x = 23,082,895,035.61/167,760.50
  6. Step 6: Final answer
    x = 137,594.34

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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.