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Finding the Fourth Proportional to 198,692.52, 297,387.23 and 108,597.23

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Solution

The fourth proportional to 198,692.52, 297,387.23 and 108,597.23 is: 162,539.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,692.52 : 297,387.23 = 108,597.23 : x
  2. Step 2: Convert to fraction form
    198,692.52/297,387.23 = 108,597.23/x
  3. Step 3: Cross multiply
    198,692.52x = 297,387.23 × 108,597.23
  4. Step 4: Simplify right side
    198,692.52x = 32,295,429,615.85
  5. Step 5: Solve for x
    x = 32,295,429,615.85/198,692.52
  6. Step 6: Final answer
    x = 162,539.74

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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.