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Finding the Fourth Proportional to 206,830.66, 285,395.22 and 116,169.26

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Solution

The fourth proportional to 206,830.66, 285,395.22 and 116,169.26 is: 160,296.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,830.66 : 285,395.22 = 116,169.26 : x
  2. Step 2: Convert to fraction form
    206,830.66/285,395.22 = 116,169.26/x
  3. Step 3: Cross multiply
    206,830.66x = 285,395.22 × 116,169.26
  4. Step 4: Simplify right side
    206,830.66x = 33,154,151,514.94
  5. Step 5: Solve for x
    x = 33,154,151,514.94/206,830.66
  6. Step 6: Final answer
    x = 160,296.12

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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.