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Finding the Fourth Proportional to 100,194.44, 150,294.39 and 30,073.76

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Solution

The fourth proportional to 100,194.44, 150,294.39 and 30,073.76 is: 45,111.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,194.44 : 150,294.39 = 30,073.76 : x
  2. Step 2: Convert to fraction form
    100,194.44/150,294.39 = 30,073.76/x
  3. Step 3: Cross multiply
    100,194.44x = 150,294.39 × 30,073.76
  4. Step 4: Simplify right side
    100,194.44x = 4,519,917,414.21
  5. Step 5: Solve for x
    x = 4,519,917,414.21/100,194.44
  6. Step 6: Final answer
    x = 45,111.46

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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.