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Finding the Fourth Proportional to 198,358.86, 297,556.92 and 65,239.41

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Solution

The fourth proportional to 198,358.86, 297,556.92 and 65,239.41 is: 97,865.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,358.86 : 297,556.92 = 65,239.41 : x
  2. Step 2: Convert to fraction form
    198,358.86/297,556.92 = 65,239.41/x
  3. Step 3: Cross multiply
    198,358.86x = 297,556.92 × 65,239.41
  4. Step 4: Simplify right side
    198,358.86x = 19,412,437,902.22
  5. Step 5: Solve for x
    x = 19,412,437,902.22/198,358.86
  6. Step 6: Final answer
    x = 97,865.24

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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.