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Finding the Fourth Proportional to 196,736.49, 294,843.51 and 78,342.84

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Solution

The fourth proportional to 196,736.49, 294,843.51 and 78,342.84 is: 117,410.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,736.49 : 294,843.51 = 78,342.84 : x
  2. Step 2: Convert to fraction form
    196,736.49/294,843.51 = 78,342.84/x
  3. Step 3: Cross multiply
    196,736.49x = 294,843.51 × 78,342.84
  4. Step 4: Simplify right side
    196,736.49x = 23,098,877,928.97
  5. Step 5: Solve for x
    x = 23,098,877,928.97/196,736.49
  6. Step 6: Final answer
    x = 117,410.24

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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.