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Finding the Fourth Proportional to 233,932.56, 350,819.40 and 76,122

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Solution

The fourth proportional to 233,932.56, 350,819.40 and 76,122 is: 114,157.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,932.56 : 350,819.40 = 76,122 : x
  2. Step 2: Convert to fraction form
    233,932.56/350,819.40 = 76,122/x
  3. Step 3: Cross multiply
    233,932.56x = 350,819.40 × 76,122
  4. Step 4: Simplify right side
    233,932.56x = 26,705,074,366.80
  5. Step 5: Solve for x
    x = 26,705,074,366.80/233,932.56
  6. Step 6: Final answer
    x = 114,157.15

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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.