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Finding the Fourth Proportional to 140,451.89, 193,823.57 and 76,789.67

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Solution

The fourth proportional to 140,451.89, 193,823.57 and 76,789.67 is: 105,969.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,451.89 : 193,823.57 = 76,789.67 : x
  2. Step 2: Convert to fraction form
    140,451.89/193,823.57 = 76,789.67/x
  3. Step 3: Cross multiply
    140,451.89x = 193,823.57 × 76,789.67
  4. Step 4: Simplify right side
    140,451.89x = 14,883,647,201.38
  5. Step 5: Solve for x
    x = 14,883,647,201.38/140,451.89
  6. Step 6: Final answer
    x = 105,969.72

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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.