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Finding the Fourth Proportional to 97,076.12, 133,628.20 and 83,691.68

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Solution

The fourth proportional to 97,076.12, 133,628.20 and 83,691.68 is: 115,204.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,076.12 : 133,628.20 = 83,691.68 : x
  2. Step 2: Convert to fraction form
    97,076.12/133,628.20 = 83,691.68/x
  3. Step 3: Cross multiply
    97,076.12x = 133,628.20 × 83,691.68
  4. Step 4: Simplify right side
    97,076.12x = 11,183,568,553.38
  5. Step 5: Solve for x
    x = 11,183,568,553.38/97,076.12
  6. Step 6: Final answer
    x = 115,204.12

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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.