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Finding the Fourth Proportional to 263,768.90, 364,166.16 and 203,224.64

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Solution

The fourth proportional to 263,768.90, 364,166.16 and 203,224.64 is: 280,577.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,768.90 : 364,166.16 = 203,224.64 : x
  2. Step 2: Convert to fraction form
    263,768.90/364,166.16 = 203,224.64/x
  3. Step 3: Cross multiply
    263,768.90x = 364,166.16 × 203,224.64
  4. Step 4: Simplify right side
    263,768.90x = 74,007,536,766.18
  5. Step 5: Solve for x
    x = 74,007,536,766.18/263,768.90
  6. Step 6: Final answer
    x = 280,577.19

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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.