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Finding the Fourth Proportional to 205,180.80, 307,771.20 and 135,139.20

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Solution

The fourth proportional to 205,180.80, 307,771.20 and 135,139.20 is: 202,708.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,180.80 : 307,771.20 = 135,139.20 : x
  2. Step 2: Convert to fraction form
    205,180.80/307,771.20 = 135,139.20/x
  3. Step 3: Cross multiply
    205,180.80x = 307,771.20 × 135,139.20
  4. Step 4: Simplify right side
    205,180.80x = 41,591,953,751.04
  5. Step 5: Solve for x
    x = 41,591,953,751.04/205,180.80
  6. Step 6: Final answer
    x = 202,708.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.