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Finding the Fourth Proportional to 198,434.52, 297,692.79 and 65,322.77

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Solution

The fourth proportional to 198,434.52, 297,692.79 and 65,322.77 is: 97,997.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,434.52 : 297,692.79 = 65,322.77 : x
  2. Step 2: Convert to fraction form
    198,434.52/297,692.79 = 65,322.77/x
  3. Step 3: Cross multiply
    198,434.52x = 297,692.79 × 65,322.77
  4. Step 4: Simplify right side
    198,434.52x = 19,446,116,163.36
  5. Step 5: Solve for x
    x = 19,446,116,163.36/198,434.52
  6. Step 6: Final answer
    x = 97,997.65

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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.