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Finding the Fourth Proportional to 275,044.38, 412,727.40 and 115,106.95

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Solution

The fourth proportional to 275,044.38, 412,727.40 and 115,106.95 is: 172,727.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,044.38 : 412,727.40 = 115,106.95 : x
  2. Step 2: Convert to fraction form
    275,044.38/412,727.40 = 115,106.95/x
  3. Step 3: Cross multiply
    275,044.38x = 412,727.40 × 115,106.95
  4. Step 4: Simplify right side
    275,044.38x = 47,507,792,195.43
  5. Step 5: Solve for x
    x = 47,507,792,195.43/275,044.38
  6. Step 6: Final answer
    x = 172,727.73

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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.