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Finding the Fourth Proportional to 233,892, 350,662.80 and 76,026.24

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Solution

The fourth proportional to 233,892, 350,662.80 and 76,026.24 is: 113,982.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,892 : 350,662.80 = 76,026.24 : x
  2. Step 2: Convert to fraction form
    233,892/350,662.80 = 76,026.24/x
  3. Step 3: Cross multiply
    233,892x = 350,662.80 × 76,026.24
  4. Step 4: Simplify right side
    233,892x = 26,659,574,191.87
  5. Step 5: Solve for x
    x = 26,659,574,191.87/233,892
  6. Step 6: Final answer
    x = 113,982.41

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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.