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Finding the Fourth Proportional to 193,846.44, 290,731.33 and 184,233.94

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Solution

The fourth proportional to 193,846.44, 290,731.33 and 184,233.94 is: 276,314.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,846.44 : 290,731.33 = 184,233.94 : x
  2. Step 2: Convert to fraction form
    193,846.44/290,731.33 = 184,233.94/x
  3. Step 3: Cross multiply
    193,846.44x = 290,731.33 × 184,233.94
  4. Step 4: Simplify right side
    193,846.44x = 53,562,578,407.34
  5. Step 5: Solve for x
    x = 53,562,578,407.34/193,846.44
  6. Step 6: Final answer
    x = 276,314.48

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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.