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Finding the Fourth Proportional to 168,150, 232,041.24 and 92,694

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Solution

The fourth proportional to 168,150, 232,041.24 and 92,694 is: 127,914.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,150 : 232,041.24 = 92,694 : x
  2. Step 2: Convert to fraction form
    168,150/232,041.24 = 92,694/x
  3. Step 3: Cross multiply
    168,150x = 232,041.24 × 92,694
  4. Step 4: Simplify right side
    168,150x = 21,508,830,700.56
  5. Step 5: Solve for x
    x = 21,508,830,700.56/168,150
  6. Step 6: Final answer
    x = 127,914.54

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