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Finding the Fourth Proportional to 100,074.84, 150,164.16 and 43,954.44

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Solution

The fourth proportional to 100,074.84, 150,164.16 and 43,954.44 is: 65,954.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,074.84 : 150,164.16 = 43,954.44 : x
  2. Step 2: Convert to fraction form
    100,074.84/150,164.16 = 43,954.44/x
  3. Step 3: Cross multiply
    100,074.84x = 150,164.16 × 43,954.44
  4. Step 4: Simplify right side
    100,074.84x = 6,600,381,560.87
  5. Step 5: Solve for x
    x = 6,600,381,560.87/100,074.84
  6. Step 6: Final answer
    x = 65,954.46

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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.