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Finding the Fourth Proportional to 111,282.40, 166,923.60 and 100,201.60

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Solution

The fourth proportional to 111,282.40, 166,923.60 and 100,201.60 is: 150,302.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,282.40 : 166,923.60 = 100,201.60 : x
  2. Step 2: Convert to fraction form
    111,282.40/166,923.60 = 100,201.60/x
  3. Step 3: Cross multiply
    111,282.40x = 166,923.60 × 100,201.60
  4. Step 4: Simplify right side
    111,282.40x = 16,726,011,797.76
  5. Step 5: Solve for x
    x = 16,726,011,797.76/111,282.40
  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.