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Finding the Fourth Proportional to 281,662, 422,519.08 and 92,123.44

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Solution

The fourth proportional to 281,662, 422,519.08 and 92,123.44 is: 138,193.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,662 : 422,519.08 = 92,123.44 : x
  2. Step 2: Convert to fraction form
    281,662/422,519.08 = 92,123.44/x
  3. Step 3: Cross multiply
    281,662x = 422,519.08 × 92,123.44
  4. Step 4: Simplify right side
    281,662x = 38,923,911,115.24
  5. Step 5: Solve for x
    x = 38,923,911,115.24/281,662
  6. Step 6: Final answer
    x = 138,193.69

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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.