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Finding the Fourth Proportional to 205,919.40, 308,850.30 and 65,692.20

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Solution

The fourth proportional to 205,919.40, 308,850.30 and 65,692.20 is: 98,529.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,919.40 : 308,850.30 = 65,692.20 : x
  2. Step 2: Convert to fraction form
    205,919.40/308,850.30 = 65,692.20/x
  3. Step 3: Cross multiply
    205,919.40x = 308,850.30 × 65,692.20
  4. Step 4: Simplify right side
    205,919.40x = 20,289,055,677.66
  5. Step 5: Solve for x
    x = 20,289,055,677.66/205,919.40
  6. Step 6: Final answer
    x = 98,529.11

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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.