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Finding the Fourth Proportional to 167,901.16, 231,703.38 and 92,449

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Solution

The fourth proportional to 167,901.16, 231,703.38 and 92,449 is: 127,579.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,901.16 : 231,703.38 = 92,449 : x
  2. Step 2: Convert to fraction form
    167,901.16/231,703.38 = 92,449/x
  3. Step 3: Cross multiply
    167,901.16x = 231,703.38 × 92,449
  4. Step 4: Simplify right side
    167,901.16x = 21,420,745,777.62
  5. Step 5: Solve for x
    x = 21,420,745,777.62/167,901.16
  6. Step 6: Final answer
    x = 127,579.50

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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.