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Finding the Fourth Proportional to 117,321.66, 175,982.49 and 34,222.14

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Solution

The fourth proportional to 117,321.66, 175,982.49 and 34,222.14 is: 51,333.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,321.66 : 175,982.49 = 34,222.14 : x
  2. Step 2: Convert to fraction form
    117,321.66/175,982.49 = 34,222.14/x
  3. Step 3: Cross multiply
    117,321.66x = 175,982.49 × 34,222.14
  4. Step 4: Simplify right side
    117,321.66x = 6,022,497,410.33
  5. Step 5: Solve for x
    x = 6,022,497,410.33/117,321.66
  6. Step 6: Final answer
    x = 51,333.21

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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.