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Finding the Fourth Proportional to 227,588.44, 313,936.56 and 147,063.28

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Solution

The fourth proportional to 227,588.44, 313,936.56 and 147,063.28 is: 202,859.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,588.44 : 313,936.56 = 147,063.28 : x
  2. Step 2: Convert to fraction form
    227,588.44/313,936.56 = 147,063.28/x
  3. Step 3: Cross multiply
    227,588.44x = 313,936.56 × 147,063.28
  4. Step 4: Simplify right side
    227,588.44x = 46,168,540,225.52
  5. Step 5: Solve for x
    x = 46,168,540,225.52/227,588.44
  6. Step 6: Final answer
    x = 202,859.78

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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.