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Finding the Fourth Proportional to 205,692.80, 308,539.20 and 164,220.80

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Solution

The fourth proportional to 205,692.80, 308,539.20 and 164,220.80 is: 246,331.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,692.80 : 308,539.20 = 164,220.80 : x
  2. Step 2: Convert to fraction form
    205,692.80/308,539.20 = 164,220.80/x
  3. Step 3: Cross multiply
    205,692.80x = 308,539.20 × 164,220.80
  4. Step 4: Simplify right side
    205,692.80x = 50,668,554,255.36
  5. Step 5: Solve for x
    x = 50,668,554,255.36/205,692.80
  6. Step 6: Final answer
    x = 246,331.20

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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.