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Finding the Fourth Proportional to 197,324.31, 295,960.82 and 78,996.81

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Solution

The fourth proportional to 197,324.31, 295,960.82 and 78,996.81 is: 118,484.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,324.31 : 295,960.82 = 78,996.81 : x
  2. Step 2: Convert to fraction form
    197,324.31/295,960.82 = 78,996.81/x
  3. Step 3: Cross multiply
    197,324.31x = 295,960.82 × 78,996.81
  4. Step 4: Simplify right side
    197,324.31x = 23,379,960,270.00
  5. Step 5: Solve for x
    x = 23,379,960,270.00/197,324.31
  6. Step 6: Final answer
    x = 118,484.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.