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Finding the Fourth Proportional to 196,654.25, 294,981.71 and 84,261.62

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Solution

The fourth proportional to 196,654.25, 294,981.71 and 84,261.62 is: 126,392.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,654.25 : 294,981.71 = 84,261.62 : x
  2. Step 2: Convert to fraction form
    196,654.25/294,981.71 = 84,261.62/x
  3. Step 3: Cross multiply
    196,654.25x = 294,981.71 × 84,261.62
  4. Step 4: Simplify right side
    196,654.25x = 24,855,634,858.75
  5. Step 5: Solve for x
    x = 24,855,634,858.75/196,654.25
  6. Step 6: Final answer
    x = 126,392.57

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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.