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Finding the Fourth Proportional to 206,722.88, 285,279.52 and 117,291.84

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Solution

The fourth proportional to 206,722.88, 285,279.52 and 117,291.84 is: 161,863.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,722.88 : 285,279.52 = 117,291.84 : x
  2. Step 2: Convert to fraction form
    206,722.88/285,279.52 = 117,291.84/x
  3. Step 3: Cross multiply
    206,722.88x = 285,279.52 × 117,291.84
  4. Step 4: Simplify right side
    206,722.88x = 33,460,959,815.12
  5. Step 5: Solve for x
    x = 33,460,959,815.12/206,722.88
  6. Step 6: Final answer
    x = 161,863.84

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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.