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Finding the Fourth Proportional to 120,033.41, 165,644.15 and 65,584.41

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Solution

The fourth proportional to 120,033.41, 165,644.15 and 65,584.41 is: 90,505.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,033.41 : 165,644.15 = 65,584.41 : x
  2. Step 2: Convert to fraction form
    120,033.41/165,644.15 = 65,584.41/x
  3. Step 3: Cross multiply
    120,033.41x = 165,644.15 × 65,584.41
  4. Step 4: Simplify right side
    120,033.41x = 10,863,673,847.70
  5. Step 5: Solve for x
    x = 10,863,673,847.70/120,033.41
  6. Step 6: Final answer
    x = 90,505.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.