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Finding the Fourth Proportional to 196,287.75, 270,877.11 and 106,863.75

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Solution

The fourth proportional to 196,287.75, 270,877.11 and 106,863.75 is: 147,471.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,287.75 : 270,877.11 = 106,863.75 : x
  2. Step 2: Convert to fraction form
    196,287.75/270,877.11 = 106,863.75/x
  3. Step 3: Cross multiply
    196,287.75x = 270,877.11 × 106,863.75
  4. Step 4: Simplify right side
    196,287.75x = 28,946,943,763.76
  5. Step 5: Solve for x
    x = 28,946,943,763.76/196,287.75
  6. Step 6: Final answer
    x = 147,471.98

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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.