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Finding the Fourth Proportional to 321,177.33, 481,789.89 and 96,519.78

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Solution

The fourth proportional to 321,177.33, 481,789.89 and 96,519.78 is: 144,786.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,177.33 : 481,789.89 = 96,519.78 : x
  2. Step 2: Convert to fraction form
    321,177.33/481,789.89 = 96,519.78/x
  3. Step 3: Cross multiply
    321,177.33x = 481,789.89 × 96,519.78
  4. Step 4: Simplify right side
    321,177.33x = 46,502,254,189.02
  5. Step 5: Solve for x
    x = 46,502,254,189.02/321,177.33
  6. Step 6: Final answer
    x = 144,786.85

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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.