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Finding the Fourth Proportional to 206,846.37, 310,287.43 and 57,086.69

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Solution

The fourth proportional to 206,846.37, 310,287.43 and 57,086.69 is: 85,634.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,846.37 : 310,287.43 = 57,086.69 : x
  2. Step 2: Convert to fraction form
    206,846.37/310,287.43 = 57,086.69/x
  3. Step 3: Cross multiply
    206,846.37x = 310,287.43 × 57,086.69
  4. Step 4: Simplify right side
    206,846.37x = 17,713,282,010.81
  5. Step 5: Solve for x
    x = 17,713,282,010.81/206,846.37
  6. Step 6: Final answer
    x = 85,634.97

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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.