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Finding the Fourth Proportional to 123,826.64, 170,879.64 and 67,234.64

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Solution

The fourth proportional to 123,826.64, 170,879.64 and 67,234.64 is: 92,783.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,826.64 : 170,879.64 = 67,234.64 : x
  2. Step 2: Convert to fraction form
    123,826.64/170,879.64 = 67,234.64/x
  3. Step 3: Cross multiply
    123,826.64x = 170,879.64 × 67,234.64
  4. Step 4: Simplify right side
    123,826.64x = 11,489,031,078.73
  5. Step 5: Solve for x
    x = 11,489,031,078.73/123,826.64
  6. Step 6: Final answer
    x = 92,783.19

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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.