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Finding the Fourth Proportional to 220,072.80, 330,109.20 and 205,201.20

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Solution

The fourth proportional to 220,072.80, 330,109.20 and 205,201.20 is: 307,801.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,072.80 : 330,109.20 = 205,201.20 : x
  2. Step 2: Convert to fraction form
    220,072.80/330,109.20 = 205,201.20/x
  3. Step 3: Cross multiply
    220,072.80x = 330,109.20 × 205,201.20
  4. Step 4: Simplify right side
    220,072.80x = 67,738,803,971.04
  5. Step 5: Solve for x
    x = 67,738,803,971.04/220,072.80
  6. Step 6: Final answer
    x = 307,801.80

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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.