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Finding the Fourth Proportional to 275,536.80, 413,305.20 and 118,072.80

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Solution

The fourth proportional to 275,536.80, 413,305.20 and 118,072.80 is: 177,109.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,536.80 : 413,305.20 = 118,072.80 : x
  2. Step 2: Convert to fraction form
    275,536.80/413,305.20 = 118,072.80/x
  3. Step 3: Cross multiply
    275,536.80x = 413,305.20 × 118,072.80
  4. Step 4: Simplify right side
    275,536.80x = 48,800,102,218.56
  5. Step 5: Solve for x
    x = 48,800,102,218.56/275,536.80
  6. Step 6: Final answer
    x = 177,109.20

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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.