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Finding the Fourth Proportional to 256,093.44, 384,336.18 and 115,950.48

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Solution

The fourth proportional to 256,093.44, 384,336.18 and 115,950.48 is: 174,014.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,093.44 : 384,336.18 = 115,950.48 : x
  2. Step 2: Convert to fraction form
    256,093.44/384,336.18 = 115,950.48/x
  3. Step 3: Cross multiply
    256,093.44x = 384,336.18 × 115,950.48
  4. Step 4: Simplify right side
    256,093.44x = 44,563,964,552.37
  5. Step 5: Solve for x
    x = 44,563,964,552.37/256,093.44
  6. Step 6: Final answer
    x = 174,014.47

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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.