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Finding the Fourth Proportional to 220,629.57, 304,456.37 and 123,824.41

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Solution

The fourth proportional to 220,629.57, 304,456.37 and 123,824.41 is: 170,870.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,629.57 : 304,456.37 = 123,824.41 : x
  2. Step 2: Convert to fraction form
    220,629.57/304,456.37 = 123,824.41/x
  3. Step 3: Cross multiply
    220,629.57x = 304,456.37 × 123,824.41
  4. Step 4: Simplify right side
    220,629.57x = 37,699,130,130.38
  5. Step 5: Solve for x
    x = 37,699,130,130.38/220,629.57
  6. Step 6: Final answer
    x = 170,870.70

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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.