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Finding the Fourth Proportional to 133,407.44, 200,157.24 and 50,348.24

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Solution

The fourth proportional to 133,407.44, 200,157.24 and 50,348.24 is: 75,539.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,407.44 : 200,157.24 = 50,348.24 : x
  2. Step 2: Convert to fraction form
    133,407.44/200,157.24 = 50,348.24/x
  3. Step 3: Cross multiply
    133,407.44x = 200,157.24 × 50,348.24
  4. Step 4: Simplify right side
    133,407.44x = 10,077,564,757.26
  5. Step 5: Solve for x
    x = 10,077,564,757.26/133,407.44
  6. Step 6: Final answer
    x = 75,539.75

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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.