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Finding the Fourth Proportional to 207,938.70, 311,905.16 and 50,165.82

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Solution

The fourth proportional to 207,938.70, 311,905.16 and 50,165.82 is: 75,248.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,938.70 : 311,905.16 = 50,165.82 : x
  2. Step 2: Convert to fraction form
    207,938.70/311,905.16 = 50,165.82/x
  3. Step 3: Cross multiply
    207,938.70x = 311,905.16 × 50,165.82
  4. Step 4: Simplify right side
    207,938.70x = 15,646,978,113.63
  5. Step 5: Solve for x
    x = 15,646,978,113.63/207,938.70
  6. Step 6: Final answer
    x = 75,248.03

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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.