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Finding the Fourth Proportional to 117,199.54, 175,804.17 and 34,093.54

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Solution

The fourth proportional to 117,199.54, 175,804.17 and 34,093.54 is: 51,141.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,199.54 : 175,804.17 = 34,093.54 : x
  2. Step 2: Convert to fraction form
    117,199.54/175,804.17 = 34,093.54/x
  3. Step 3: Cross multiply
    117,199.54x = 175,804.17 × 34,093.54
  4. Step 4: Simplify right side
    117,199.54x = 5,993,786,785.74
  5. Step 5: Solve for x
    x = 5,993,786,785.74/117,199.54
  6. Step 6: Final answer
    x = 51,141.73

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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.