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Finding the Fourth Proportional to 207,904.14, 311,853.47 and 50,131.22

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Solution

The fourth proportional to 207,904.14, 311,853.47 and 50,131.22 is: 75,196.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,904.14 : 311,853.47 = 50,131.22 : x
  2. Step 2: Convert to fraction form
    207,904.14/311,853.47 = 50,131.22/x
  3. Step 3: Cross multiply
    207,904.14x = 311,853.47 × 50,131.22
  4. Step 4: Simplify right side
    207,904.14x = 15,633,593,102.41
  5. Step 5: Solve for x
    x = 15,633,593,102.41/207,904.14
  6. Step 6: Final answer
    x = 75,196.16

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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.