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Finding the Fourth Proportional to 281,890.82, 422,898.44 and 82,226.84

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Solution

The fourth proportional to 281,890.82, 422,898.44 and 82,226.84 is: 123,358.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,890.82 : 422,898.44 = 82,226.84 : x
  2. Step 2: Convert to fraction form
    281,890.82/422,898.44 = 82,226.84/x
  3. Step 3: Cross multiply
    281,890.82x = 422,898.44 × 82,226.84
  4. Step 4: Simplify right side
    281,890.82x = 34,773,602,362.13
  5. Step 5: Solve for x
    x = 34,773,602,362.13/281,890.82
  6. Step 6: Final answer
    x = 123,358.41

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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.