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Finding the Fourth Proportional to 100,026.57, 149,961.96 and 50,080.94

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Solution

The fourth proportional to 100,026.57, 149,961.96 and 50,080.94 is: 75,082.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,026.57 : 149,961.96 = 50,080.94 : x
  2. Step 2: Convert to fraction form
    100,026.57/149,961.96 = 50,080.94/x
  3. Step 3: Cross multiply
    100,026.57x = 149,961.96 × 50,080.94
  4. Step 4: Simplify right side
    100,026.57x = 7,510,235,171.23
  5. Step 5: Solve for x
    x = 7,510,235,171.23/100,026.57
  6. Step 6: Final answer
    x = 75,082.40

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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.