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Finding the Fourth Proportional to 133,852.20, 200,471.80 and 67,311.24

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Solution

The fourth proportional to 133,852.20, 200,471.80 and 67,311.24 is: 100,812.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,852.20 : 200,471.80 = 67,311.24 : x
  2. Step 2: Convert to fraction form
    133,852.20/200,471.80 = 67,311.24/x
  3. Step 3: Cross multiply
    133,852.20x = 200,471.80 × 67,311.24
  4. Step 4: Simplify right side
    133,852.20x = 13,494,005,443.03
  5. Step 5: Solve for x
    x = 13,494,005,443.03/133,852.20
  6. Step 6: Final answer
    x = 100,812.73

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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.