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Finding the Fourth Proportional to 198,177, 297,296.46 and 65,026.98

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Solution

The fourth proportional to 198,177, 297,296.46 and 65,026.98 is: 97,550.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,177 : 297,296.46 = 65,026.98 : x
  2. Step 2: Convert to fraction form
    198,177/297,296.46 = 65,026.98/x
  3. Step 3: Cross multiply
    198,177x = 297,296.46 × 65,026.98
  4. Step 4: Simplify right side
    198,177x = 19,332,290,958.49
  5. Step 5: Solve for x
    x = 19,332,290,958.49/198,177
  6. Step 6: Final answer
    x = 97,550.63

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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.