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Finding the Fourth Proportional to 196,398.72, 294,615.09 and 54,244.08

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Solution

The fourth proportional to 196,398.72, 294,615.09 and 54,244.08 is: 81,370.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,398.72 : 294,615.09 = 54,244.08 : x
  2. Step 2: Convert to fraction form
    196,398.72/294,615.09 = 54,244.08/x
  3. Step 3: Cross multiply
    196,398.72x = 294,615.09 × 54,244.08
  4. Step 4: Simplify right side
    196,398.72x = 15,981,124,511.17
  5. Step 5: Solve for x
    x = 15,981,124,511.17/196,398.72
  6. Step 6: Final answer
    x = 81,370.82

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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.