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Finding the Fourth Proportional to 321,305.20, 481,871.40 and 96,665.20

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Solution

The fourth proportional to 321,305.20, 481,871.40 and 96,665.20 is: 144,971.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,305.20 : 481,871.40 = 96,665.20 : x
  2. Step 2: Convert to fraction form
    321,305.20/481,871.40 = 96,665.20/x
  3. Step 3: Cross multiply
    321,305.20x = 481,871.40 × 96,665.20
  4. Step 4: Simplify right side
    321,305.20x = 46,580,195,255.28
  5. Step 5: Solve for x
    x = 46,580,195,255.28/321,305.20
  6. Step 6: Final answer
    x = 144,971.81

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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.