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Finding the Fourth Proportional to 297,766.80, 446,520.87 and 108,164.16

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Solution

The fourth proportional to 297,766.80, 446,520.87 and 108,164.16 is: 162,199.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,766.80 : 446,520.87 = 108,164.16 : x
  2. Step 2: Convert to fraction form
    297,766.80/446,520.87 = 108,164.16/x
  3. Step 3: Cross multiply
    297,766.80x = 446,520.87 × 108,164.16
  4. Step 4: Simplify right side
    297,766.80x = 48,297,554,826.02
  5. Step 5: Solve for x
    x = 48,297,554,826.02/297,766.80
  6. Step 6: Final answer
    x = 162,199.26

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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.