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Finding the Fourth Proportional to 281,106.40, 421,659.60 and 81,433.30

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Solution

The fourth proportional to 281,106.40, 421,659.60 and 81,433.30 is: 122,149.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,106.40 : 421,659.60 = 81,433.30 : x
  2. Step 2: Convert to fraction form
    281,106.40/421,659.60 = 81,433.30/x
  3. Step 3: Cross multiply
    281,106.40x = 421,659.60 × 81,433.30
  4. Step 4: Simplify right side
    281,106.40x = 34,337,132,704.68
  5. Step 5: Solve for x
    x = 34,337,132,704.68/281,106.40
  6. Step 6: Final answer
    x = 122,149.95

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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.