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Finding the Fourth Proportional to 203,503.80, 305,255.70 and 133,423.80

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Solution

The fourth proportional to 203,503.80, 305,255.70 and 133,423.80 is: 200,135.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,503.80 : 305,255.70 = 133,423.80 : x
  2. Step 2: Convert to fraction form
    203,503.80/305,255.70 = 133,423.80/x
  3. Step 3: Cross multiply
    203,503.80x = 305,255.70 × 133,423.80
  4. Step 4: Simplify right side
    203,503.80x = 40,728,375,465.66
  5. Step 5: Solve for x
    x = 40,728,375,465.66/203,503.80
  6. Step 6: Final answer
    x = 200,135.70

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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.