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Finding the Fourth Proportional to 227,262, 313,293.64 and 159,067.92

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Solution

The fourth proportional to 227,262, 313,293.64 and 159,067.92 is: 219,284.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,262 : 313,293.64 = 159,067.92 : x
  2. Step 2: Convert to fraction form
    227,262/313,293.64 = 159,067.92/x
  3. Step 3: Cross multiply
    227,262x = 313,293.64 × 159,067.92
  4. Step 4: Simplify right side
    227,262x = 49,834,967,664.03
  5. Step 5: Solve for x
    x = 49,834,967,664.03/227,262
  6. Step 6: Final answer
    x = 219,284.21

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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.