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Finding the Fourth Proportional to 163,694.45, 225,929.39 and 102,469.12

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Solution

The fourth proportional to 163,694.45, 225,929.39 and 102,469.12 is: 141,426.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,694.45 : 225,929.39 = 102,469.12 : x
  2. Step 2: Convert to fraction form
    163,694.45/225,929.39 = 102,469.12/x
  3. Step 3: Cross multiply
    163,694.45x = 225,929.39 × 102,469.12
  4. Step 4: Simplify right side
    163,694.45x = 23,150,784,698.27
  5. Step 5: Solve for x
    x = 23,150,784,698.27/163,694.45
  6. Step 6: Final answer
    x = 141,426.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.