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Finding the Fourth Proportional to 214,162.24, 295,535.92 and 123,522

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Solution

The fourth proportional to 214,162.24, 295,535.92 and 123,522 is: 170,455.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,162.24 : 295,535.92 = 123,522 : x
  2. Step 2: Convert to fraction form
    214,162.24/295,535.92 = 123,522/x
  3. Step 3: Cross multiply
    214,162.24x = 295,535.92 × 123,522
  4. Step 4: Simplify right side
    214,162.24x = 36,505,187,910.24
  5. Step 5: Solve for x
    x = 36,505,187,910.24/214,162.24
  6. Step 6: Final answer
    x = 170,455.76

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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.