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Finding the Fourth Proportional to 220,710, 304,558.74 and 123,891.69

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Solution

The fourth proportional to 220,710, 304,558.74 and 123,891.69 is: 170,958.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,710 : 304,558.74 = 123,891.69 : x
  2. Step 2: Convert to fraction form
    220,710/304,558.74 = 123,891.69/x
  3. Step 3: Cross multiply
    220,710x = 304,558.74 × 123,891.69
  4. Step 4: Simplify right side
    220,710x = 37,732,297,002.87
  5. Step 5: Solve for x
    x = 37,732,297,002.87/220,710
  6. Step 6: Final answer
    x = 170,958.71

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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.