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Finding the Fourth Proportional to 146,857.60, 220,286.40 and 100,201.60

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Solution

The fourth proportional to 146,857.60, 220,286.40 and 100,201.60 is: 150,302.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,857.60 : 220,286.40 = 100,201.60 : x
  2. Step 2: Convert to fraction form
    146,857.60/220,286.40 = 100,201.60/x
  3. Step 3: Cross multiply
    146,857.60x = 220,286.40 × 100,201.60
  4. Step 4: Simplify right side
    146,857.60x = 22,073,049,738.24
  5. Step 5: Solve for x
    x = 22,073,049,738.24/146,857.60
  6. Step 6: Final answer
    x = 150,302.40

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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.