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Finding the Fourth Proportional to 196,634.16, 294,922.08 and 71,946

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Solution

The fourth proportional to 196,634.16, 294,922.08 and 71,946 is: 107,908.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,634.16 : 294,922.08 = 71,946 : x
  2. Step 2: Convert to fraction form
    196,634.16/294,922.08 = 71,946/x
  3. Step 3: Cross multiply
    196,634.16x = 294,922.08 × 71,946
  4. Step 4: Simplify right side
    196,634.16x = 21,218,463,967.68
  5. Step 5: Solve for x
    x = 21,218,463,967.68/196,634.16
  6. Step 6: Final answer
    x = 107,908.33

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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.