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Finding the Fourth Proportional to 196,496.24, 294,497.88 and 84,044.48

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Solution

The fourth proportional to 196,496.24, 294,497.88 and 84,044.48 is: 125,961.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,496.24 : 294,497.88 = 84,044.48 : x
  2. Step 2: Convert to fraction form
    196,496.24/294,497.88 = 84,044.48/x
  3. Step 3: Cross multiply
    196,496.24x = 294,497.88 × 84,044.48
  4. Step 4: Simplify right side
    196,496.24x = 24,750,921,185.70
  5. Step 5: Solve for x
    x = 24,750,921,185.70/196,496.24
  6. Step 6: Final answer
    x = 125,961.30

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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.