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Finding the Fourth Proportional to 225,794.60, 311,630.61 and 144,157.73

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Solution

The fourth proportional to 225,794.60, 311,630.61 and 144,157.73 is: 198,959.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,794.60 : 311,630.61 = 144,157.73 : x
  2. Step 2: Convert to fraction form
    225,794.60/311,630.61 = 144,157.73/x
  3. Step 3: Cross multiply
    225,794.60x = 311,630.61 × 144,157.73
  4. Step 4: Simplify right side
    225,794.60x = 44,923,961,336.12
  5. Step 5: Solve for x
    x = 44,923,961,336.12/225,794.60
  6. Step 6: Final answer
    x = 198,959.41

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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.