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Finding the Fourth Proportional to 198,434.27, 297,692.41 and 65,322.52

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Solution

The fourth proportional to 198,434.27, 297,692.41 and 65,322.52 is: 97,997.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,434.27 : 297,692.41 = 65,322.52 : x
  2. Step 2: Convert to fraction form
    198,434.27/297,692.41 = 65,322.52/x
  3. Step 3: Cross multiply
    198,434.27x = 297,692.41 × 65,322.52
  4. Step 4: Simplify right side
    198,434.27x = 19,446,016,917.61
  5. Step 5: Solve for x
    x = 19,446,016,917.61/198,434.27
  6. Step 6: Final answer
    x = 97,997.27

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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.