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Finding the Fourth Proportional to 196,609.71, 294,865.97 and 84,277.20

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Solution

The fourth proportional to 196,609.71, 294,865.97 and 84,277.20 is: 126,394.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,609.71 : 294,865.97 = 84,277.20 : x
  2. Step 2: Convert to fraction form
    196,609.71/294,865.97 = 84,277.20/x
  3. Step 3: Cross multiply
    196,609.71x = 294,865.97 × 84,277.20
  4. Step 4: Simplify right side
    196,609.71x = 24,850,477,905.50
  5. Step 5: Solve for x
    x = 24,850,477,905.50/196,609.71
  6. Step 6: Final answer
    x = 126,394.97

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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.