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Finding the Fourth Proportional to 146,589, 219,872.46 and 46,745.16

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Solution

The fourth proportional to 146,589, 219,872.46 and 46,745.16 is: 70,114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,589 : 219,872.46 = 46,745.16 : x
  2. Step 2: Convert to fraction form
    146,589/219,872.46 = 46,745.16/x
  3. Step 3: Cross multiply
    146,589x = 219,872.46 × 46,745.16
  4. Step 4: Simplify right side
    146,589x = 10,277,973,322.29
  5. Step 5: Solve for x
    x = 10,277,973,322.29/146,589
  6. Step 6: Final answer
    x = 70,114.22

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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.