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Finding the Fourth Proportional to 206,951.49, 285,592.77 and 120,969.59

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Solution

The fourth proportional to 206,951.49, 285,592.77 and 120,969.59 is: 166,937.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,951.49 : 285,592.77 = 120,969.59 : x
  2. Step 2: Convert to fraction form
    206,951.49/285,592.77 = 120,969.59/x
  3. Step 3: Cross multiply
    206,951.49x = 285,592.77 × 120,969.59
  4. Step 4: Simplify right side
    206,951.49x = 34,548,038,865.90
  5. Step 5: Solve for x
    x = 34,548,038,865.90/206,951.49
  6. Step 6: Final answer
    x = 166,937.86

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Why These Related Problems?

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