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Finding the Fourth Proportional to 206,876.70, 310,896.33 and 122,648.82

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Solution

The fourth proportional to 206,876.70, 310,896.33 and 122,648.82 is: 184,317.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,876.70 : 310,896.33 = 122,648.82 : x
  2. Step 2: Convert to fraction form
    206,876.70/310,896.33 = 122,648.82/x
  3. Step 3: Cross multiply
    206,876.70x = 310,896.33 × 122,648.82
  4. Step 4: Simplify right side
    206,876.70x = 38,131,068,016.83
  5. Step 5: Solve for x
    x = 38,131,068,016.83/206,876.70
  6. Step 6: Final answer
    x = 184,317.85

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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.