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Finding the Fourth Proportional to 254,653.44, 381,398.82 and 121,627.44

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Solution

The fourth proportional to 254,653.44, 381,398.82 and 121,627.44 is: 182,163.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,653.44 : 381,398.82 = 121,627.44 : x
  2. Step 2: Convert to fraction form
    254,653.44/381,398.82 = 121,627.44/x
  3. Step 3: Cross multiply
    254,653.44x = 381,398.82 × 121,627.44
  4. Step 4: Simplify right side
    254,653.44x = 46,388,562,095.62
  5. Step 5: Solve for x
    x = 46,388,562,095.62/254,653.44
  6. Step 6: Final answer
    x = 182,163.50

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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.