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Finding the Fourth Proportional to 164,076.20, 246,114.30 and 104,978.60

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Solution

The fourth proportional to 164,076.20, 246,114.30 and 104,978.60 is: 157,467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,076.20 : 246,114.30 = 104,978.60 : x
  2. Step 2: Convert to fraction form
    164,076.20/246,114.30 = 104,978.60/x
  3. Step 3: Cross multiply
    164,076.20x = 246,114.30 × 104,978.60
  4. Step 4: Simplify right side
    164,076.20x = 25,836,734,653.98
  5. Step 5: Solve for x
    x = 25,836,734,653.98/164,076.20
  6. Step 6: Final answer
    x = 157,467.90

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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.