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Finding the Fourth Proportional to 196,379.56, 295,012.77 and 116,469.95

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Solution

The fourth proportional to 196,379.56, 295,012.77 and 116,469.95 is: 174,967.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,379.56 : 295,012.77 = 116,469.95 : x
  2. Step 2: Convert to fraction form
    196,379.56/295,012.77 = 116,469.95/x
  3. Step 3: Cross multiply
    196,379.56x = 295,012.77 × 116,469.95
  4. Step 4: Simplify right side
    196,379.56x = 34,360,121,918.25
  5. Step 5: Solve for x
    x = 34,360,121,918.25/196,379.56
  6. Step 6: Final answer
    x = 174,967.92

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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.