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Finding the Fourth Proportional to 264,914.78, 365,571.27 and 150,201.14

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Solution

The fourth proportional to 264,914.78, 365,571.27 and 150,201.14 is: 207,271.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,914.78 : 365,571.27 = 150,201.14 : x
  2. Step 2: Convert to fraction form
    264,914.78/365,571.27 = 150,201.14/x
  3. Step 3: Cross multiply
    264,914.78x = 365,571.27 × 150,201.14
  4. Step 4: Simplify right side
    264,914.78x = 54,909,222,419.18
  5. Step 5: Solve for x
    x = 54,909,222,419.18/264,914.78
  6. Step 6: Final answer
    x = 207,271.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.