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Finding the Fourth Proportional to 140,208.57, 193,491.14 and 76,546.80

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Solution

The fourth proportional to 140,208.57, 193,491.14 and 76,546.80 is: 105,636.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,208.57 : 193,491.14 = 76,546.80 : x
  2. Step 2: Convert to fraction form
    140,208.57/193,491.14 = 76,546.80/x
  3. Step 3: Cross multiply
    140,208.57x = 193,491.14 × 76,546.80
  4. Step 4: Simplify right side
    140,208.57x = 14,811,127,212.62
  5. Step 5: Solve for x
    x = 14,811,127,212.62/140,208.57
  6. Step 6: Final answer
    x = 105,636.39

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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.