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Finding the Fourth Proportional to 203,369.94, 305,334.36 and 103,597.38

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Solution

The fourth proportional to 203,369.94, 305,334.36 and 103,597.38 is: 155,538.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,369.94 : 305,334.36 = 103,597.38 : x
  2. Step 2: Convert to fraction form
    203,369.94/305,334.36 = 103,597.38/x
  3. Step 3: Cross multiply
    203,369.94x = 305,334.36 × 103,597.38
  4. Step 4: Simplify right side
    203,369.94x = 31,631,839,719.98
  5. Step 5: Solve for x
    x = 31,631,839,719.98/203,369.94
  6. Step 6: Final answer
    x = 155,538.42

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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.