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Finding the Fourth Proportional to 196,660.80, 294,992.82 and 56,423.88

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Solution

The fourth proportional to 196,660.80, 294,992.82 and 56,423.88 is: 84,636.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,660.80 : 294,992.82 = 56,423.88 : x
  2. Step 2: Convert to fraction form
    196,660.80/294,992.82 = 56,423.88/x
  3. Step 3: Cross multiply
    196,660.80x = 294,992.82 × 56,423.88
  4. Step 4: Simplify right side
    196,660.80x = 16,644,639,476.54
  5. Step 5: Solve for x
    x = 16,644,639,476.54/196,660.80
  6. Step 6: Final answer
    x = 84,636.28

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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.