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Finding the Fourth Proportional to 90,847.80, 136,223.10 and 38,197.80

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Solution

The fourth proportional to 90,847.80, 136,223.10 and 38,197.80 is: 57,276.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,847.80 : 136,223.10 = 38,197.80 : x
  2. Step 2: Convert to fraction form
    90,847.80/136,223.10 = 38,197.80/x
  3. Step 3: Cross multiply
    90,847.80x = 136,223.10 × 38,197.80
  4. Step 4: Simplify right side
    90,847.80x = 5,203,422,729.18
  5. Step 5: Solve for x
    x = 5,203,422,729.18/90,847.80
  6. Step 6: Final answer
    x = 57,276.27

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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.