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Finding the Fourth Proportional to 206,828.66, 285,392.46 and 116,167.26

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Solution

The fourth proportional to 206,828.66, 285,392.46 and 116,167.26 is: 160,293.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,828.66 : 285,392.46 = 116,167.26 : x
  2. Step 2: Convert to fraction form
    206,828.66/285,392.46 = 116,167.26/x
  3. Step 3: Cross multiply
    206,828.66x = 285,392.46 × 116,167.26
  4. Step 4: Simplify right side
    206,828.66x = 33,153,260,102.86
  5. Step 5: Solve for x
    x = 33,153,260,102.86/206,828.66
  6. Step 6: Final answer
    x = 160,293.36

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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.