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Finding the Fourth Proportional to 192,692.20, 289,038.30 and 81,869.80

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Solution

The fourth proportional to 192,692.20, 289,038.30 and 81,869.80 is: 122,804.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,692.20 : 289,038.30 = 81,869.80 : x
  2. Step 2: Convert to fraction form
    192,692.20/289,038.30 = 81,869.80/x
  3. Step 3: Cross multiply
    192,692.20x = 289,038.30 × 81,869.80
  4. Step 4: Simplify right side
    192,692.20x = 23,663,507,813.34
  5. Step 5: Solve for x
    x = 23,663,507,813.34/192,692.20
  6. Step 6: Final answer
    x = 122,804.70

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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.