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Finding the Fourth Proportional to 140,504.59, 193,899.15 and 76,846.48

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Solution

The fourth proportional to 140,504.59, 193,899.15 and 76,846.48 is: 106,049.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,504.59 : 193,899.15 = 76,846.48 : x
  2. Step 2: Convert to fraction form
    140,504.59/193,899.15 = 76,846.48/x
  3. Step 3: Cross multiply
    140,504.59x = 193,899.15 × 76,846.48
  4. Step 4: Simplify right side
    140,504.59x = 14,900,467,152.49
  5. Step 5: Solve for x
    x = 14,900,467,152.49/140,504.59
  6. Step 6: Final answer
    x = 106,049.68

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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.