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Finding the Fourth Proportional to 140,504.70, 193,899.33 and 76,846.59

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Solution

The fourth proportional to 140,504.70, 193,899.33 and 76,846.59 is: 106,049.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,504.70 : 193,899.33 = 76,846.59 : x
  2. Step 2: Convert to fraction form
    140,504.70/193,899.33 = 76,846.59/x
  3. Step 3: Cross multiply
    140,504.70x = 193,899.33 × 76,846.59
  4. Step 4: Simplify right side
    140,504.70x = 14,900,502,313.78
  5. Step 5: Solve for x
    x = 14,900,502,313.78/140,504.70
  6. Step 6: Final answer
    x = 106,049.85

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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.