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Finding the Fourth Proportional to 207,814.36, 311,721.62 and 50,042.81

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Solution

The fourth proportional to 207,814.36, 311,721.62 and 50,042.81 is: 75,064.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,814.36 : 311,721.62 = 50,042.81 : x
  2. Step 2: Convert to fraction form
    207,814.36/311,721.62 = 50,042.81/x
  3. Step 3: Cross multiply
    207,814.36x = 311,721.62 × 50,042.81
  4. Step 4: Simplify right side
    207,814.36x = 15,599,426,331.64
  5. Step 5: Solve for x
    x = 15,599,426,331.64/207,814.36
  6. Step 6: Final answer
    x = 75,064.24

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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.