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Finding the Fourth Proportional to 297,874.76, 446,671.76 and 108,201.41

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Solution

The fourth proportional to 297,874.76, 446,671.76 and 108,201.41 is: 162,251.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,874.76 : 446,671.76 = 108,201.41 : x
  2. Step 2: Convert to fraction form
    297,874.76/446,671.76 = 108,201.41/x
  3. Step 3: Cross multiply
    297,874.76x = 446,671.76 × 108,201.41
  4. Step 4: Simplify right side
    297,874.76x = 48,330,511,464.82
  5. Step 5: Solve for x
    x = 48,330,511,464.82/297,874.76
  6. Step 6: Final answer
    x = 162,251.12

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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.