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Finding the Fourth Proportional to 227,156, 313,462.24 and 130,339.36

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Solution

The fourth proportional to 227,156, 313,462.24 and 130,339.36 is: 179,860.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,156 : 313,462.24 = 130,339.36 : x
  2. Step 2: Convert to fraction form
    227,156/313,462.24 = 130,339.36/x
  3. Step 3: Cross multiply
    227,156x = 313,462.24 × 130,339.36
  4. Step 4: Simplify right side
    227,156x = 40,856,467,745.77
  5. Step 5: Solve for x
    x = 40,856,467,745.77/227,156
  6. Step 6: Final answer
    x = 179,860.83

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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.