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Finding the Fourth Proportional to 238,076.96, 357,105.20 and 71,860

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Solution

The fourth proportional to 238,076.96, 357,105.20 and 71,860 is: 107,786.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,076.96 : 357,105.20 = 71,860 : x
  2. Step 2: Convert to fraction form
    238,076.96/357,105.20 = 71,860/x
  3. Step 3: Cross multiply
    238,076.96x = 357,105.20 × 71,860
  4. Step 4: Simplify right side
    238,076.96x = 25,661,579,672
  5. Step 5: Solve for x
    x = 25,661,579,672/238,076.96
  6. Step 6: Final answer
    x = 107,786.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.