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Finding the Fourth Proportional to 262,906.80, 394,273.80 and 96,673.20

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Solution

The fourth proportional to 262,906.80, 394,273.80 and 96,673.20 is: 144,978.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,906.80 : 394,273.80 = 96,673.20 : x
  2. Step 2: Convert to fraction form
    262,906.80/394,273.80 = 96,673.20/x
  3. Step 3: Cross multiply
    262,906.80x = 394,273.80 × 96,673.20
  4. Step 4: Simplify right side
    262,906.80x = 38,115,709,922.16
  5. Step 5: Solve for x
    x = 38,115,709,922.16/262,906.80
  6. Step 6: Final answer
    x = 144,978.03

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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.