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Finding the Fourth Proportional to 206,116.50, 284,440.77 and 116,692.50

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Solution

The fourth proportional to 206,116.50, 284,440.77 and 116,692.50 is: 161,035.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,116.50 : 284,440.77 = 116,692.50 : x
  2. Step 2: Convert to fraction form
    206,116.50/284,440.77 = 116,692.50/x
  3. Step 3: Cross multiply
    206,116.50x = 284,440.77 × 116,692.50
  4. Step 4: Simplify right side
    206,116.50x = 33,192,104,553.23
  5. Step 5: Solve for x
    x = 33,192,104,553.23/206,116.50
  6. Step 6: Final answer
    x = 161,035.65

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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.