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Finding the Fourth Proportional to 230,394.17, 345,539.41 and 82,650.17

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Solution

The fourth proportional to 230,394.17, 345,539.41 and 82,650.17 is: 123,956.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,394.17 : 345,539.41 = 82,650.17 : x
  2. Step 2: Convert to fraction form
    230,394.17/345,539.41 = 82,650.17/x
  3. Step 3: Cross multiply
    230,394.17x = 345,539.41 × 82,650.17
  4. Step 4: Simplify right side
    230,394.17x = 28,558,890,978.20
  5. Step 5: Solve for x
    x = 28,558,890,978.20/230,394.17
  6. Step 6: Final answer
    x = 123,956.66

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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.