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Finding the Fourth Proportional to 233,893.16, 350,786.09 and 65,425.41

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Solution

The fourth proportional to 233,893.16, 350,786.09 and 65,425.41 is: 98,123.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,893.16 : 350,786.09 = 65,425.41 : x
  2. Step 2: Convert to fraction form
    233,893.16/350,786.09 = 65,425.41/x
  3. Step 3: Cross multiply
    233,893.16x = 350,786.09 × 65,425.41
  4. Step 4: Simplify right side
    233,893.16x = 22,950,325,236.62
  5. Step 5: Solve for x
    x = 22,950,325,236.62/233,893.16
  6. Step 6: Final answer
    x = 98,123.12

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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.