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Finding the Fourth Proportional to 233,553.72, 350,379.90 and 75,769.98

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Solution

The fourth proportional to 233,553.72, 350,379.90 and 75,769.98 is: 113,670.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,553.72 : 350,379.90 = 75,769.98 : x
  2. Step 2: Convert to fraction form
    233,553.72/350,379.90 = 75,769.98/x
  3. Step 3: Cross multiply
    233,553.72x = 350,379.90 × 75,769.98
  4. Step 4: Simplify right side
    233,553.72x = 26,548,278,015.40
  5. Step 5: Solve for x
    x = 26,548,278,015.40/233,553.72
  6. Step 6: Final answer
    x = 113,670.97

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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.