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Finding the Fourth Proportional to 299,854.88, 449,629.52 and 100,103.52

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Solution

The fourth proportional to 299,854.88, 449,629.52 and 100,103.52 is: 150,104.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,854.88 : 449,629.52 = 100,103.52 : x
  2. Step 2: Convert to fraction form
    299,854.88/449,629.52 = 100,103.52/x
  3. Step 3: Cross multiply
    299,854.88x = 449,629.52 × 100,103.52
  4. Step 4: Simplify right side
    299,854.88x = 45,009,497,647.91
  5. Step 5: Solve for x
    x = 45,009,497,647.91/299,854.88
  6. Step 6: Final answer
    x = 150,104.27

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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.