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Finding the Fourth Proportional to 321,098.64, 481,649.12 and 107,860.48

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Solution

The fourth proportional to 321,098.64, 481,649.12 and 107,860.48 is: 161,791.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,098.64 : 481,649.12 = 107,860.48 : x
  2. Step 2: Convert to fraction form
    321,098.64/481,649.12 = 107,860.48/x
  3. Step 3: Cross multiply
    321,098.64x = 481,649.12 × 107,860.48
  4. Step 4: Simplify right side
    321,098.64x = 51,950,905,274.78
  5. Step 5: Solve for x
    x = 51,950,905,274.78/321,098.64
  6. Step 6: Final answer
    x = 161,791.11

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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.