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Finding the Fourth Proportional to 264,481.44, 364,880.56 and 151,243.44

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Solution

The fourth proportional to 264,481.44, 364,880.56 and 151,243.44 is: 208,656.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,481.44 : 364,880.56 = 151,243.44 : x
  2. Step 2: Convert to fraction form
    264,481.44/364,880.56 = 151,243.44/x
  3. Step 3: Cross multiply
    264,481.44x = 364,880.56 × 151,243.44
  4. Step 4: Simplify right side
    264,481.44x = 55,185,791,083.53
  5. Step 5: Solve for x
    x = 55,185,791,083.53/264,481.44
  6. Step 6: Final answer
    x = 208,656.57

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Why These Related Problems?

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