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Finding the Fourth Proportional to 241,794.92, 362,597.33 and 81,826.80

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Solution

The fourth proportional to 241,794.92, 362,597.33 and 81,826.80 is: 122,708.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,794.92 : 362,597.33 = 81,826.80 : x
  2. Step 2: Convert to fraction form
    241,794.92/362,597.33 = 81,826.80/x
  3. Step 3: Cross multiply
    241,794.92x = 362,597.33 × 81,826.80
  4. Step 4: Simplify right side
    241,794.92x = 29,670,178,793.31
  5. Step 5: Solve for x
    x = 29,670,178,793.31/241,794.92
  6. Step 6: Final answer
    x = 122,708.03

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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.