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Finding the Fourth Proportional to 322,045.30, 483,081 and 82,165.42

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Solution

The fourth proportional to 322,045.30, 483,081 and 82,165.42 is: 123,251.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,045.30 : 483,081 = 82,165.42 : x
  2. Step 2: Convert to fraction form
    322,045.30/483,081 = 82,165.42/x
  3. Step 3: Cross multiply
    322,045.30x = 483,081 × 82,165.42
  4. Step 4: Simplify right side
    322,045.30x = 39,692,553,259.02
  5. Step 5: Solve for x
    x = 39,692,553,259.02/322,045.30
  6. Step 6: Final answer
    x = 123,251.46

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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.