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Finding the Fourth Proportional to 100,573, 150,991.34 and 67,441.32

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Solution

The fourth proportional to 100,573, 150,991.34 and 67,441.32 is: 101,250.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,573 : 150,991.34 = 67,441.32 : x
  2. Step 2: Convert to fraction form
    100,573/150,991.34 = 67,441.32/x
  3. Step 3: Cross multiply
    100,573x = 150,991.34 × 67,441.32
  4. Step 4: Simplify right side
    100,573x = 10,183,055,278.17
  5. Step 5: Solve for x
    x = 10,183,055,278.17/100,573
  6. Step 6: Final answer
    x = 101,250.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.