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Finding the Fourth Proportional to 242,692.98, 364,203.49 and 84,922.80

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Solution

The fourth proportional to 242,692.98, 364,203.49 and 84,922.80 is: 127,441.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,692.98 : 364,203.49 = 84,922.80 : x
  2. Step 2: Convert to fraction form
    242,692.98/364,203.49 = 84,922.80/x
  3. Step 3: Cross multiply
    242,692.98x = 364,203.49 × 84,922.80
  4. Step 4: Simplify right side
    242,692.98x = 30,929,178,721.73
  5. Step 5: Solve for x
    x = 30,929,178,721.73/242,692.98
  6. Step 6: Final answer
    x = 127,441.59

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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.