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Finding the Fourth Proportional to 233,910.29, 350,892.86 and 82,060.94

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Solution

The fourth proportional to 233,910.29, 350,892.86 and 82,060.94 is: 123,101.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,910.29 : 350,892.86 = 82,060.94 : x
  2. Step 2: Convert to fraction form
    233,910.29/350,892.86 = 82,060.94/x
  3. Step 3: Cross multiply
    233,910.29x = 350,892.86 × 82,060.94
  4. Step 4: Simplify right side
    233,910.29x = 28,794,595,766.12
  5. Step 5: Solve for x
    x = 28,794,595,766.12/233,910.29
  6. Step 6: Final answer
    x = 123,101.02

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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.