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Finding the Fourth Proportional to 227,463.92, 313,567.92 and 159,266

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Solution

The fourth proportional to 227,463.92, 313,567.92 and 159,266 is: 219,554.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,463.92 : 313,567.92 = 159,266 : x
  2. Step 2: Convert to fraction form
    227,463.92/313,567.92 = 159,266/x
  3. Step 3: Cross multiply
    227,463.92x = 313,567.92 × 159,266
  4. Step 4: Simplify right side
    227,463.92x = 49,940,708,346.72
  5. Step 5: Solve for x
    x = 49,940,708,346.72/227,463.92
  6. Step 6: Final answer
    x = 219,554.42

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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.