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Finding the Fourth Proportional to 227,866.94, 341,841.91 and 78,122.37

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Solution

The fourth proportional to 227,866.94, 341,841.91 and 78,122.37 is: 117,197.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,866.94 : 341,841.91 = 78,122.37 : x
  2. Step 2: Convert to fraction form
    227,866.94/341,841.91 = 78,122.37/x
  3. Step 3: Cross multiply
    227,866.94x = 341,841.91 × 78,122.37
  4. Step 4: Simplify right side
    227,866.94x = 26,705,500,174.53
  5. Step 5: Solve for x
    x = 26,705,500,174.53/227,866.94
  6. Step 6: Final answer
    x = 117,197.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.