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Finding the Fourth Proportional to 117,339.78, 175,674.24 and 109,891.22

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Solution

The fourth proportional to 117,339.78, 175,674.24 and 109,891.22 is: 164,522.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,339.78 : 175,674.24 = 109,891.22 : x
  2. Step 2: Convert to fraction form
    117,339.78/175,674.24 = 109,891.22/x
  3. Step 3: Cross multiply
    117,339.78x = 175,674.24 × 109,891.22
  4. Step 4: Simplify right side
    117,339.78x = 19,305,056,556.17
  5. Step 5: Solve for x
    x = 19,305,056,556.17/117,339.78
  6. Step 6: Final answer
    x = 164,522.69

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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.