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Finding the Fourth Proportional to 232,692.84, 321,107.04 and 142,200.36

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Solution

The fourth proportional to 232,692.84, 321,107.04 and 142,200.36 is: 196,230.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,692.84 : 321,107.04 = 142,200.36 : x
  2. Step 2: Convert to fraction form
    232,692.84/321,107.04 = 142,200.36/x
  3. Step 3: Cross multiply
    232,692.84x = 321,107.04 × 142,200.36
  4. Step 4: Simplify right side
    232,692.84x = 45,661,536,686.53
  5. Step 5: Solve for x
    x = 45,661,536,686.53/232,692.84
  6. Step 6: Final answer
    x = 196,230.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.