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Finding the Fourth Proportional to 196,814.08, 295,078.08 and 78,449.92

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Solution

The fourth proportional to 196,814.08, 295,078.08 and 78,449.92 is: 117,617.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,814.08 : 295,078.08 = 78,449.92 : x
  2. Step 2: Convert to fraction form
    196,814.08/295,078.08 = 78,449.92/x
  3. Step 3: Cross multiply
    196,814.08x = 295,078.08 × 78,449.92
  4. Step 4: Simplify right side
    196,814.08x = 23,148,851,769.75
  5. Step 5: Solve for x
    x = 23,148,851,769.75/196,814.08
  6. Step 6: Final answer
    x = 117,617.86

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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.