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Finding the Fourth Proportional to 198,176.75, 297,296.09 and 65,026.72

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Solution

The fourth proportional to 198,176.75, 297,296.09 and 65,026.72 is: 97,550.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,176.75 : 297,296.09 = 65,026.72 : x
  2. Step 2: Convert to fraction form
    198,176.75/297,296.09 = 65,026.72/x
  3. Step 3: Cross multiply
    198,176.75x = 297,296.09 × 65,026.72
  4. Step 4: Simplify right side
    198,176.75x = 19,332,187,789.91
  5. Step 5: Solve for x
    x = 19,332,187,789.91/198,176.75
  6. Step 6: Final answer
    x = 97,550.23

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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.