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Finding the Fourth Proportional to 227,465.62, 313,839.56 and 146,896.54

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Solution

The fourth proportional to 227,465.62, 313,839.56 and 146,896.54 is: 202,676.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,465.62 : 313,839.56 = 146,896.54 : x
  2. Step 2: Convert to fraction form
    227,465.62/313,839.56 = 146,896.54/x
  3. Step 3: Cross multiply
    227,465.62x = 313,839.56 × 146,896.54
  4. Step 4: Simplify right side
    227,465.62x = 46,101,945,479.12
  5. Step 5: Solve for x
    x = 46,101,945,479.12/227,465.62
  6. Step 6: Final answer
    x = 202,676.54

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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.