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Finding the Fourth Proportional to 118,183, 177,175.08 and 54,971

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Solution

The fourth proportional to 118,183, 177,175.08 and 54,971 is: 82,410.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,183 : 177,175.08 = 54,971 : x
  2. Step 2: Convert to fraction form
    118,183/177,175.08 = 54,971/x
  3. Step 3: Cross multiply
    118,183x = 177,175.08 × 54,971
  4. Step 4: Simplify right side
    118,183x = 9,739,491,322.68
  5. Step 5: Solve for x
    x = 9,739,491,322.68/118,183
  6. Step 6: Final answer
    x = 82,410.26

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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.