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Finding the Fourth Proportional to 233,876.48, 350,735.24 and 76,065.76

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Solution

The fourth proportional to 233,876.48, 350,735.24 and 76,065.76 is: 114,072.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,876.48 : 350,735.24 = 76,065.76 : x
  2. Step 2: Convert to fraction form
    233,876.48/350,735.24 = 76,065.76/x
  3. Step 3: Cross multiply
    233,876.48x = 350,735.24 × 76,065.76
  4. Step 4: Simplify right side
    233,876.48x = 26,678,942,589.38
  5. Step 5: Solve for x
    x = 26,678,942,589.38/233,876.48
  6. Step 6: Final answer
    x = 114,072.79

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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.