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Finding the Fourth Proportional to 196,400.50, 294,729.95 and 107,716.30

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Solution

The fourth proportional to 196,400.50, 294,729.95 and 107,716.30 is: 161,645.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,400.50 : 294,729.95 = 107,716.30 : x
  2. Step 2: Convert to fraction form
    196,400.50/294,729.95 = 107,716.30/x
  3. Step 3: Cross multiply
    196,400.50x = 294,729.95 × 107,716.30
  4. Step 4: Simplify right side
    196,400.50x = 31,747,219,245.65
  5. Step 5: Solve for x
    x = 31,747,219,245.65/196,400.50
  6. Step 6: Final answer
    x = 161,645.31

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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.