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Finding the Fourth Proportional to 227,409.85, 313,830.62 and 125,438.41

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Solution

The fourth proportional to 227,409.85, 313,830.62 and 125,438.41 is: 173,107.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,409.85 : 313,830.62 = 125,438.41 : x
  2. Step 2: Convert to fraction form
    227,409.85/313,830.62 = 125,438.41/x
  3. Step 3: Cross multiply
    227,409.85x = 313,830.62 × 125,438.41
  4. Step 4: Simplify right side
    227,409.85x = 39,366,413,982.11
  5. Step 5: Solve for x
    x = 39,366,413,982.11/227,409.85
  6. Step 6: Final answer
    x = 173,107.78

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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.