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Finding the Fourth Proportional to 163,205.91, 225,166.38 and 106,650.09

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Solution

The fourth proportional to 163,205.91, 225,166.38 and 106,650.09 is: 147,139.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,205.91 : 225,166.38 = 106,650.09 : x
  2. Step 2: Convert to fraction form
    163,205.91/225,166.38 = 106,650.09/x
  3. Step 3: Cross multiply
    163,205.91x = 225,166.38 × 106,650.09
  4. Step 4: Simplify right side
    163,205.91x = 24,014,014,691.97
  5. Step 5: Solve for x
    x = 24,014,014,691.97/163,205.91
  6. Step 6: Final answer
    x = 147,139.37

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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.