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Finding the Fourth Proportional to 196,553.98, 294,882 and 56,323.54

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Solution

The fourth proportional to 196,553.98, 294,882 and 56,323.54 is: 84,499.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,553.98 : 294,882 = 56,323.54 : x
  2. Step 2: Convert to fraction form
    196,553.98/294,882 = 56,323.54/x
  3. Step 3: Cross multiply
    196,553.98x = 294,882 × 56,323.54
  4. Step 4: Simplify right side
    196,553.98x = 16,608,798,122.28
  5. Step 5: Solve for x
    x = 16,608,798,122.28/196,553.98
  6. Step 6: Final answer
    x = 84,499.93

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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.