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Finding the Fourth Proportional to 196,497.27, 294,499.40 and 84,045.51

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Solution

The fourth proportional to 196,497.27, 294,499.40 and 84,045.51 is: 125,962.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,497.27 : 294,499.40 = 84,045.51 : x
  2. Step 2: Convert to fraction form
    196,497.27/294,499.40 = 84,045.51/x
  3. Step 3: Cross multiply
    196,497.27x = 294,499.40 × 84,045.51
  4. Step 4: Simplify right side
    196,497.27x = 24,751,351,847.47
  5. Step 5: Solve for x
    x = 24,751,351,847.47/196,497.27
  6. Step 6: Final answer
    x = 125,962.83

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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.