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Finding the Fourth Proportional to 100,222.63, 150,361.62 and 89,206.30

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Solution

The fourth proportional to 100,222.63, 150,361.62 and 89,206.30 is: 133,834.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,222.63 : 150,361.62 = 89,206.30 : x
  2. Step 2: Convert to fraction form
    100,222.63/150,361.62 = 89,206.30/x
  3. Step 3: Cross multiply
    100,222.63x = 150,361.62 × 89,206.30
  4. Step 4: Simplify right side
    100,222.63x = 13,413,203,589.08
  5. Step 5: Solve for x
    x = 13,413,203,589.08/100,222.63
  6. Step 6: Final answer
    x = 133,834.08

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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.