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Finding the Fourth Proportional to 189,982.21, 262,173.48 and 103,940.38

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Solution

The fourth proportional to 189,982.21, 262,173.48 and 103,940.38 is: 143,436.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,982.21 : 262,173.48 = 103,940.38 : x
  2. Step 2: Convert to fraction form
    189,982.21/262,173.48 = 103,940.38/x
  3. Step 3: Cross multiply
    189,982.21x = 262,173.48 × 103,940.38
  4. Step 4: Simplify right side
    189,982.21x = 27,250,411,137.12
  5. Step 5: Solve for x
    x = 27,250,411,137.12/189,982.21
  6. Step 6: Final answer
    x = 143,436.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.