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Finding the Fourth Proportional to 210,662.97, 290,714.85 and 115,169.66

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Solution

The fourth proportional to 210,662.97, 290,714.85 and 115,169.66 is: 158,934.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,662.97 : 290,714.85 = 115,169.66 : x
  2. Step 2: Convert to fraction form
    210,662.97/290,714.85 = 115,169.66/x
  3. Step 3: Cross multiply
    210,662.97x = 290,714.85 × 115,169.66
  4. Step 4: Simplify right side
    210,662.97x = 33,481,531,379.41
  5. Step 5: Solve for x
    x = 33,481,531,379.41/210,662.97
  6. Step 6: Final answer
    x = 158,934.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.