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Finding the Fourth Proportional to 164,826.73, 247,092.46 and 85,850.51

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Solution

The fourth proportional to 164,826.73, 247,092.46 and 85,850.51 is: 128,698.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,826.73 : 247,092.46 = 85,850.51 : x
  2. Step 2: Convert to fraction form
    164,826.73/247,092.46 = 85,850.51/x
  3. Step 3: Cross multiply
    164,826.73x = 247,092.46 × 85,850.51
  4. Step 4: Simplify right side
    164,826.73x = 21,213,013,708.15
  5. Step 5: Solve for x
    x = 21,213,013,708.15/164,826.73
  6. Step 6: Final answer
    x = 128,698.87

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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.