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Finding the Fourth Proportional to 281,682.08, 422,592.24 and 82,004.25

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Solution

The fourth proportional to 281,682.08, 422,592.24 and 82,004.25 is: 123,026.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,682.08 : 422,592.24 = 82,004.25 : x
  2. Step 2: Convert to fraction form
    281,682.08/422,592.24 = 82,004.25/x
  3. Step 3: Cross multiply
    281,682.08x = 422,592.24 × 82,004.25
  4. Step 4: Simplify right side
    281,682.08x = 34,654,359,697.02
  5. Step 5: Solve for x
    x = 34,654,359,697.02/281,682.08
  6. Step 6: Final answer
    x = 123,026.50

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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.