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Finding the Fourth Proportional to 196,539.43, 294,923.42 and 82,678.89

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Solution

The fourth proportional to 196,539.43, 294,923.42 and 82,678.89 is: 124,066.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,539.43 : 294,923.42 = 82,678.89 : x
  2. Step 2: Convert to fraction form
    196,539.43/294,923.42 = 82,678.89/x
  3. Step 3: Cross multiply
    196,539.43x = 294,923.42 × 82,678.89
  4. Step 4: Simplify right side
    196,539.43x = 24,383,941,000.60
  5. Step 5: Solve for x
    x = 24,383,941,000.60/196,539.43
  6. Step 6: Final answer
    x = 124,066.41

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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.