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Finding the Fourth Proportional to 133,821.63, 200,732.22 and 73,847.21

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Solution

The fourth proportional to 133,821.63, 200,732.22 and 73,847.21 is: 110,770.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,821.63 : 200,732.22 = 73,847.21 : x
  2. Step 2: Convert to fraction form
    133,821.63/200,732.22 = 73,847.21/x
  3. Step 3: Cross multiply
    133,821.63x = 200,732.22 × 73,847.21
  4. Step 4: Simplify right side
    133,821.63x = 14,823,513,400.45
  5. Step 5: Solve for x
    x = 14,823,513,400.45/133,821.63
  6. Step 6: Final answer
    x = 110,770.68

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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.