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Finding the Fourth Proportional to 196,230.38, 294,389.44 and 71,571.38

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Solution

The fourth proportional to 196,230.38, 294,389.44 and 71,571.38 is: 107,373.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,230.38 : 294,389.44 = 71,571.38 : x
  2. Step 2: Convert to fraction form
    196,230.38/294,389.44 = 71,571.38/x
  3. Step 3: Cross multiply
    196,230.38x = 294,389.44 × 71,571.38
  4. Step 4: Simplify right side
    196,230.38x = 21,069,856,827.35
  5. Step 5: Solve for x
    x = 21,069,856,827.35/196,230.38
  6. Step 6: Final answer
    x = 107,373.07

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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.