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Finding the Fourth Proportional to 281,778.55, 422,676.02 and 82,094.51

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Solution

The fourth proportional to 281,778.55, 422,676.02 and 82,094.51 is: 123,144.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,778.55 : 422,676.02 = 82,094.51 : x
  2. Step 2: Convert to fraction form
    281,778.55/422,676.02 = 82,094.51/x
  3. Step 3: Cross multiply
    281,778.55x = 422,676.02 × 82,094.51
  4. Step 4: Simplify right side
    281,778.55x = 34,699,382,012.58
  5. Step 5: Solve for x
    x = 34,699,382,012.58/281,778.55
  6. Step 6: Final answer
    x = 123,144.16

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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.