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Finding the Fourth Proportional to 206,951.67, 310,426.74 and 57,191.67

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Solution

The fourth proportional to 206,951.67, 310,426.74 and 57,191.67 is: 85,787.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,951.67 : 310,426.74 = 57,191.67 : x
  2. Step 2: Convert to fraction form
    206,951.67/310,426.74 = 57,191.67/x
  3. Step 3: Cross multiply
    206,951.67x = 310,426.74 × 57,191.67
  4. Step 4: Simplify right side
    206,951.67x = 17,753,823,673.26
  5. Step 5: Solve for x
    x = 17,753,823,673.26/206,951.67
  6. Step 6: Final answer
    x = 85,787.29

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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.