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Finding the Fourth Proportional to 196,441.78, 294,791.73 and 107,757.58

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Solution

The fourth proportional to 196,441.78, 294,791.73 and 107,757.58 is: 161,707.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,441.78 : 294,791.73 = 107,757.58 : x
  2. Step 2: Convert to fraction form
    196,441.78/294,791.73 = 107,757.58/x
  3. Step 3: Cross multiply
    196,441.78x = 294,791.73 × 107,757.58
  4. Step 4: Simplify right side
    196,441.78x = 31,766,043,428.81
  5. Step 5: Solve for x
    x = 31,766,043,428.81/196,441.78
  6. Step 6: Final answer
    x = 161,707.17

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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.