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Finding the Fourth Proportional to 218,508.24, 301,540.50 and 123,015.12

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Solution

The fourth proportional to 218,508.24, 301,540.50 and 123,015.12 is: 169,760.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,508.24 : 301,540.50 = 123,015.12 : x
  2. Step 2: Convert to fraction form
    218,508.24/301,540.50 = 123,015.12/x
  3. Step 3: Cross multiply
    218,508.24x = 301,540.50 × 123,015.12
  4. Step 4: Simplify right side
    218,508.24x = 37,094,040,792.36
  5. Step 5: Solve for x
    x = 37,094,040,792.36/218,508.24
  6. Step 6: Final answer
    x = 169,760.38

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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.