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Finding the Fourth Proportional to 164,039.20, 246,204.60 and 140,419.60

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Solution

The fourth proportional to 164,039.20, 246,204.60 and 140,419.60 is: 210,754.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,039.20 : 246,204.60 = 140,419.60 : x
  2. Step 2: Convert to fraction form
    164,039.20/246,204.60 = 140,419.60/x
  3. Step 3: Cross multiply
    164,039.20x = 246,204.60 × 140,419.60
  4. Step 4: Simplify right side
    164,039.20x = 34,571,951,450.16
  5. Step 5: Solve for x
    x = 34,571,951,450.16/164,039.20
  6. Step 6: Final answer
    x = 210,754.21

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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.