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Finding the Fourth Proportional to 281,105.70, 421,658.55 and 186,627.30

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Solution

The fourth proportional to 281,105.70, 421,658.55 and 186,627.30 is: 279,940.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,105.70 : 421,658.55 = 186,627.30 : x
  2. Step 2: Convert to fraction form
    281,105.70/421,658.55 = 186,627.30/x
  3. Step 3: Cross multiply
    281,105.70x = 421,658.55 × 186,627.30
  4. Step 4: Simplify right side
    281,105.70x = 78,692,996,708.42
  5. Step 5: Solve for x
    x = 78,692,996,708.42/281,105.70
  6. Step 6: Final answer
    x = 279,940.95

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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.