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Finding the Fourth Proportional to 212,896.09, 293,811.11 and 123,472.09

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Solution

The fourth proportional to 212,896.09, 293,811.11 and 123,472.09 is: 170,399.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,896.09 : 293,811.11 = 123,472.09 : x
  2. Step 2: Convert to fraction form
    212,896.09/293,811.11 = 123,472.09/x
  3. Step 3: Cross multiply
    212,896.09x = 293,811.11 × 123,472.09
  4. Step 4: Simplify right side
    212,896.09x = 36,277,471,816.92
  5. Step 5: Solve for x
    x = 36,277,471,816.92/212,896.09
  6. Step 6: Final answer
    x = 170,399.90

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