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Finding the Fourth Proportional to 133,361.70, 200,198.84 and 105,300.68

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Solution

The fourth proportional to 133,361.70, 200,198.84 and 105,300.68 is: 158,074.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,361.70 : 200,198.84 = 105,300.68 : x
  2. Step 2: Convert to fraction form
    133,361.70/200,198.84 = 105,300.68/x
  3. Step 3: Cross multiply
    133,361.70x = 200,198.84 × 105,300.68
  4. Step 4: Simplify right side
    133,361.70x = 21,081,073,987.21
  5. Step 5: Solve for x
    x = 21,081,073,987.21/133,361.70
  6. Step 6: Final answer
    x = 158,074.42

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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.