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Finding the Fourth Proportional to 264,907.60, 397,015.80 and 122,736.40

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Solution

The fourth proportional to 264,907.60, 397,015.80 and 122,736.40 is: 183,944.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,907.60 : 397,015.80 = 122,736.40 : x
  2. Step 2: Convert to fraction form
    264,907.60/397,015.80 = 122,736.40/x
  3. Step 3: Cross multiply
    264,907.60x = 397,015.80 × 122,736.40
  4. Step 4: Simplify right side
    264,907.60x = 48,728,290,035.12
  5. Step 5: Solve for x
    x = 48,728,290,035.12/264,907.60
  6. Step 6: Final answer
    x = 183,944.48

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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.