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Finding the Fourth Proportional to 281,636.98, 422,422.58 and 113,150.50

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Solution

The fourth proportional to 281,636.98, 422,422.58 and 113,150.50 is: 169,712.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,636.98 : 422,422.58 = 113,150.50 : x
  2. Step 2: Convert to fraction form
    281,636.98/422,422.58 = 113,150.50/x
  3. Step 3: Cross multiply
    281,636.98x = 422,422.58 × 113,150.50
  4. Step 4: Simplify right side
    281,636.98x = 47,797,326,138.29
  5. Step 5: Solve for x
    x = 47,797,326,138.29/281,636.98
  6. Step 6: Final answer
    x = 169,712.54

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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.