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Finding the Fourth Proportional to 198,692.20, 297,927.58 and 65,536.71

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Solution

The fourth proportional to 198,692.20, 297,927.58 and 65,536.71 is: 98,268.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,692.20 : 297,927.58 = 65,536.71 : x
  2. Step 2: Convert to fraction form
    198,692.20/297,927.58 = 65,536.71/x
  3. Step 3: Cross multiply
    198,692.20x = 297,927.58 × 65,536.71
  4. Step 4: Simplify right side
    198,692.20x = 19,525,191,594.14
  5. Step 5: Solve for x
    x = 19,525,191,594.14/198,692.20
  6. Step 6: Final answer
    x = 98,268.54

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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.