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Finding the Fourth Proportional to 203,941.76, 305,912 and 54,197.12

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Solution

The fourth proportional to 203,941.76, 305,912 and 54,197.12 is: 81,295.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,941.76 : 305,912 = 54,197.12 : x
  2. Step 2: Convert to fraction form
    203,941.76/305,912 = 54,197.12/x
  3. Step 3: Cross multiply
    203,941.76x = 305,912 × 54,197.12
  4. Step 4: Simplify right side
    203,941.76x = 16,579,549,373.44
  5. Step 5: Solve for x
    x = 16,579,549,373.44/203,941.76
  6. Step 6: Final answer
    x = 81,295.51

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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.