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Finding the Fourth Proportional to 117,093.66, 175,648.31 and 41,183.09

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Solution

The fourth proportional to 117,093.66, 175,648.31 and 41,183.09 is: 61,777.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,093.66 : 175,648.31 = 41,183.09 : x
  2. Step 2: Convert to fraction form
    117,093.66/175,648.31 = 41,183.09/x
  3. Step 3: Cross multiply
    117,093.66x = 175,648.31 × 41,183.09
  4. Step 4: Simplify right side
    117,093.66x = 7,233,740,159.08
  5. Step 5: Solve for x
    x = 7,233,740,159.08/117,093.66
  6. Step 6: Final answer
    x = 61,777.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.