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Finding the Fourth Proportional to 281,634.81, 422,447.57 and 68,404.47

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Solution

The fourth proportional to 281,634.81, 422,447.57 and 68,404.47 is: 102,605.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,634.81 : 422,447.57 = 68,404.47 : x
  2. Step 2: Convert to fraction form
    281,634.81/422,447.57 = 68,404.47/x
  3. Step 3: Cross multiply
    281,634.81x = 422,447.57 × 68,404.47
  4. Step 4: Simplify right side
    281,634.81x = 28,897,302,128.64
  5. Step 5: Solve for x
    x = 28,897,302,128.64/281,634.81
  6. Step 6: Final answer
    x = 102,605.58

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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.