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Finding the Fourth Proportional to 196,896.80, 294,907.80 and 161,904.80

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Solution

The fourth proportional to 196,896.80, 294,907.80 and 161,904.80 is: 242,497.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,896.80 : 294,907.80 = 161,904.80 : x
  2. Step 2: Convert to fraction form
    196,896.80/294,907.80 = 161,904.80/x
  3. Step 3: Cross multiply
    196,896.80x = 294,907.80 × 161,904.80
  4. Step 4: Simplify right side
    196,896.80x = 47,746,988,377.44
  5. Step 5: Solve for x
    x = 47,746,988,377.44/196,896.80
  6. Step 6: Final answer
    x = 242,497.53

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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.