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Finding the Fourth Proportional to 203,152.40, 305,023.84 and 150,008.30

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Solution

The fourth proportional to 203,152.40, 305,023.84 and 150,008.30 is: 225,230.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,152.40 : 305,023.84 = 150,008.30 : x
  2. Step 2: Convert to fraction form
    203,152.40/305,023.84 = 150,008.30/x
  3. Step 3: Cross multiply
    203,152.40x = 305,023.84 × 150,008.30
  4. Step 4: Simplify right side
    203,152.40x = 45,756,105,797.73
  5. Step 5: Solve for x
    x = 45,756,105,797.73/203,152.40
  6. Step 6: Final answer
    x = 225,230.45

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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.