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Finding the Fourth Proportional to 149,633.44, 224,451.60 and 38,825.44

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Solution

The fourth proportional to 149,633.44, 224,451.60 and 38,825.44 is: 58,238.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,633.44 : 224,451.60 = 38,825.44 : x
  2. Step 2: Convert to fraction form
    149,633.44/224,451.60 = 38,825.44/x
  3. Step 3: Cross multiply
    149,633.44x = 224,451.60 × 38,825.44
  4. Step 4: Simplify right side
    149,633.44x = 8,714,432,128.70
  5. Step 5: Solve for x
    x = 8,714,432,128.70/149,633.44
  6. Step 6: Final answer
    x = 58,238.53

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1.5x scale

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.