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Finding the Fourth Proportional to 206,846.00, 310,286.87 and 57,086.31

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Solution

The fourth proportional to 206,846.00, 310,286.87 and 57,086.31 is: 85,634.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,846.00 : 310,286.87 = 57,086.31 : x
  2. Step 2: Convert to fraction form
    206,846.00/310,286.87 = 57,086.31/x
  3. Step 3: Cross multiply
    206,846.00x = 310,286.87 × 57,086.31
  4. Step 4: Simplify right side
    206,846.00x = 17,713,133,541.97
  5. Step 5: Solve for x
    x = 17,713,133,541.97/206,846.00
  6. Step 6: Final answer
    x = 85,634.40

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Why These Related Problems?

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