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Finding the Fourth Proportional to 281,661.84, 422,559.23 and 92,121.49

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Solution

The fourth proportional to 281,661.84, 422,559.23 and 92,121.49 is: 138,203.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,661.84 : 422,559.23 = 92,121.49 : x
  2. Step 2: Convert to fraction form
    281,661.84/422,559.23 = 92,121.49/x
  3. Step 3: Cross multiply
    281,661.84x = 422,559.23 × 92,121.49
  4. Step 4: Simplify right side
    281,661.84x = 38,926,783,307.45
  5. Step 5: Solve for x
    x = 38,926,783,307.45/281,661.84
  6. Step 6: Final answer
    x = 138,203.97

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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.