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Finding the Fourth Proportional to 167,765, 231,517.32 and 92,315.12

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Solution

The fourth proportional to 167,765, 231,517.32 and 92,315.12 is: 127,395.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,765 : 231,517.32 = 92,315.12 : x
  2. Step 2: Convert to fraction form
    167,765/231,517.32 = 92,315.12/x
  3. Step 3: Cross multiply
    167,765x = 231,517.32 × 92,315.12
  4. Step 4: Simplify right side
    167,765x = 21,372,549,177.88
  5. Step 5: Solve for x
    x = 21,372,549,177.88/167,765
  6. Step 6: Final answer
    x = 127,395.76

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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.