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Finding the Fourth Proportional to 230,391.42, 345,535.29 and 82,647.42

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Solution

The fourth proportional to 230,391.42, 345,535.29 and 82,647.42 is: 123,952.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,391.42 : 345,535.29 = 82,647.42 : x
  2. Step 2: Convert to fraction form
    230,391.42/345,535.29 = 82,647.42/x
  3. Step 3: Cross multiply
    230,391.42x = 345,535.29 × 82,647.42
  4. Step 4: Simplify right side
    230,391.42x = 28,557,600,237.45
  5. Step 5: Solve for x
    x = 28,557,600,237.45/230,391.42
  6. Step 6: Final answer
    x = 123,952.53

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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.