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Finding the Fourth Proportional to 100,838.68, 150,842.46 and 82,867

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Solution

The fourth proportional to 100,838.68, 150,842.46 and 82,867 is: 123,959.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,838.68 : 150,842.46 = 82,867 : x
  2. Step 2: Convert to fraction form
    100,838.68/150,842.46 = 82,867/x
  3. Step 3: Cross multiply
    100,838.68x = 150,842.46 × 82,867
  4. Step 4: Simplify right side
    100,838.68x = 12,499,862,132.82
  5. Step 5: Solve for x
    x = 12,499,862,132.82/100,838.68
  6. Step 6: Final answer
    x = 123,959.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.