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Finding the Fourth Proportional to 196,364.70, 270,968.22 and 110,296.26

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Solution

The fourth proportional to 196,364.70, 270,968.22 and 110,296.26 is: 152,200.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,364.70 : 270,968.22 = 110,296.26 : x
  2. Step 2: Convert to fraction form
    196,364.70/270,968.22 = 110,296.26/x
  3. Step 3: Cross multiply
    196,364.70x = 270,968.22 × 110,296.26
  4. Step 4: Simplify right side
    196,364.70x = 29,886,781,244.86
  5. Step 5: Solve for x
    x = 29,886,781,244.86/196,364.70
  6. Step 6: Final answer
    x = 152,200.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.