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Finding the Fourth Proportional to 207,907.14, 311,857.97 and 50,134.32

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Solution

The fourth proportional to 207,907.14, 311,857.97 and 50,134.32 is: 75,200.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,907.14 : 311,857.97 = 50,134.32 : x
  2. Step 2: Convert to fraction form
    207,907.14/311,857.97 = 50,134.32/x
  3. Step 3: Cross multiply
    207,907.14x = 311,857.97 × 50,134.32
  4. Step 4: Simplify right side
    207,907.14x = 15,634,787,011.86
  5. Step 5: Solve for x
    x = 15,634,787,011.86/207,907.14
  6. Step 6: Final answer
    x = 75,200.82

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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.