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Finding the Fourth Proportional to 196,278.98, 294,505.96 and 71,590.82

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Solution

The fourth proportional to 196,278.98, 294,505.96 and 71,590.82 is: 107,418.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,278.98 : 294,505.96 = 71,590.82 : x
  2. Step 2: Convert to fraction form
    196,278.98/294,505.96 = 71,590.82/x
  3. Step 3: Cross multiply
    196,278.98x = 294,505.96 × 71,590.82
  4. Step 4: Simplify right side
    196,278.98x = 21,083,923,171.29
  5. Step 5: Solve for x
    x = 21,083,923,171.29/196,278.98
  6. Step 6: Final answer
    x = 107,418.14

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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.