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Finding the Fourth Proportional to 196,494.27, 294,494.90 and 84,042.51

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Solution

The fourth proportional to 196,494.27, 294,494.90 and 84,042.51 is: 125,958.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,494.27 : 294,494.90 = 84,042.51 : x
  2. Step 2: Convert to fraction form
    196,494.27/294,494.90 = 84,042.51/x
  3. Step 3: Cross multiply
    196,494.27x = 294,494.90 × 84,042.51
  4. Step 4: Simplify right side
    196,494.27x = 24,750,090,157.99
  5. Step 5: Solve for x
    x = 24,750,090,157.99/196,494.27
  6. Step 6: Final answer
    x = 125,958.33

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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.