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Finding the Fourth Proportional to 235,692.80, 353,020.80 and 204,588.80

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Solution

The fourth proportional to 235,692.80, 353,020.80 and 204,588.80 is: 306,433.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,692.80 : 353,020.80 = 204,588.80 : x
  2. Step 2: Convert to fraction form
    235,692.80/353,020.80 = 204,588.80/x
  3. Step 3: Cross multiply
    235,692.80x = 353,020.80 × 204,588.80
  4. Step 4: Simplify right side
    235,692.80x = 72,224,101,847.04
  5. Step 5: Solve for x
    x = 72,224,101,847.04/235,692.80
  6. Step 6: Final answer
    x = 306,433.21

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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.