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Finding the Fourth Proportional to 138,851.84, 208,234.69 and 50,093.78

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Solution

The fourth proportional to 138,851.84, 208,234.69 and 50,093.78 is: 75,125.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,851.84 : 208,234.69 = 50,093.78 : x
  2. Step 2: Convert to fraction form
    138,851.84/208,234.69 = 50,093.78/x
  3. Step 3: Cross multiply
    138,851.84x = 208,234.69 × 50,093.78
  4. Step 4: Simplify right side
    138,851.84x = 10,431,261,582.82
  5. Step 5: Solve for x
    x = 10,431,261,582.82/138,851.84
  6. Step 6: Final answer
    x = 75,125.12

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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.