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Finding the Fourth Proportional to 281,843.30, 421,705.59 and 197,767.52

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Solution

The fourth proportional to 281,843.30, 421,705.59 and 197,767.52 is: 295,907.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,843.30 : 421,705.59 = 197,767.52 : x
  2. Step 2: Convert to fraction form
    281,843.30/421,705.59 = 197,767.52/x
  3. Step 3: Cross multiply
    281,843.30x = 421,705.59 × 197,767.52
  4. Step 4: Simplify right side
    281,843.30x = 83,399,670,920.21
  5. Step 5: Solve for x
    x = 83,399,670,920.21/281,843.30
  6. Step 6: Final answer
    x = 295,907.95

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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.