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Finding the Fourth Proportional to 207,796.47, 311,618.16 and 74,640.98

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Solution

The fourth proportional to 207,796.47, 311,618.16 and 74,640.98 is: 111,933.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,796.47 : 311,618.16 = 74,640.98 : x
  2. Step 2: Convert to fraction form
    207,796.47/311,618.16 = 74,640.98/x
  3. Step 3: Cross multiply
    207,796.47x = 311,618.16 × 74,640.98
  4. Step 4: Simplify right side
    207,796.47x = 23,259,483,290.11
  5. Step 5: Solve for x
    x = 23,259,483,290.11/207,796.47
  6. Step 6: Final answer
    x = 111,933.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.