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Finding the Fourth Proportional to 275,200.80, 412,801.20 and 117,736.80

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Solution

The fourth proportional to 275,200.80, 412,801.20 and 117,736.80 is: 176,605.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,200.80 : 412,801.20 = 117,736.80 : x
  2. Step 2: Convert to fraction form
    275,200.80/412,801.20 = 117,736.80/x
  3. Step 3: Cross multiply
    275,200.80x = 412,801.20 × 117,736.80
  4. Step 4: Simplify right side
    275,200.80x = 48,601,892,324.16
  5. Step 5: Solve for x
    x = 48,601,892,324.16/275,200.80
  6. Step 6: Final answer
    x = 176,605.20

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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.