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Finding the Fourth Proportional to 196,446.60, 294,615.98 and 54,257.88

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Solution

The fourth proportional to 196,446.60, 294,615.98 and 54,257.88 is: 81,371.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,446.60 : 294,615.98 = 54,257.88 : x
  2. Step 2: Convert to fraction form
    196,446.60/294,615.98 = 54,257.88/x
  3. Step 3: Cross multiply
    196,446.60x = 294,615.98 × 54,257.88
  4. Step 4: Simplify right side
    196,446.60x = 15,985,238,488.92
  5. Step 5: Solve for x
    x = 15,985,238,488.92/196,446.60
  6. Step 6: Final answer
    x = 81,371.93

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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.