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Finding the Fourth Proportional to 213,960.30, 295,192.53 and 123,313.38

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Solution

The fourth proportional to 213,960.30, 295,192.53 and 123,313.38 is: 170,130.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,960.30 : 295,192.53 = 123,313.38 : x
  2. Step 2: Convert to fraction form
    213,960.30/295,192.53 = 123,313.38/x
  3. Step 3: Cross multiply
    213,960.30x = 295,192.53 × 123,313.38
  4. Step 4: Simplify right side
    213,960.30x = 36,401,188,625.05
  5. Step 5: Solve for x
    x = 36,401,188,625.05/213,960.30
  6. Step 6: Final answer
    x = 170,130.57

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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.