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Finding the Fourth Proportional to 196,823.70, 295,235.55 and 72,213.30

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Solution

The fourth proportional to 196,823.70, 295,235.55 and 72,213.30 is: 108,319.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,823.70 : 295,235.55 = 72,213.30 : x
  2. Step 2: Convert to fraction form
    196,823.70/295,235.55 = 72,213.30/x
  3. Step 3: Cross multiply
    196,823.70x = 295,235.55 × 72,213.30
  4. Step 4: Simplify right side
    196,823.70x = 21,319,933,342.82
  5. Step 5: Solve for x
    x = 21,319,933,342.82/196,823.70
  6. Step 6: Final answer
    x = 108,319.95

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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.