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Finding the Fourth Proportional to 206,976.12, 285,627.86 and 116,335.91

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Solution

The fourth proportional to 206,976.12, 285,627.86 and 116,335.91 is: 160,544.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,976.12 : 285,627.86 = 116,335.91 : x
  2. Step 2: Convert to fraction form
    206,976.12/285,627.86 = 116,335.91/x
  3. Step 3: Cross multiply
    206,976.12x = 285,627.86 × 116,335.91
  4. Step 4: Simplify right side
    206,976.12x = 33,228,775,004.63
  5. Step 5: Solve for x
    x = 33,228,775,004.63/206,976.12
  6. Step 6: Final answer
    x = 160,544.00

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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.