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Finding the Fourth Proportional to 227,138.61, 313,438.34 and 130,321.94

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Solution

The fourth proportional to 227,138.61, 313,438.34 and 130,321.94 is: 179,836.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,138.61 : 313,438.34 = 130,321.94 : x
  2. Step 2: Convert to fraction form
    227,138.61/313,438.34 = 130,321.94/x
  3. Step 3: Cross multiply
    227,138.61x = 313,438.34 × 130,321.94
  4. Step 4: Simplify right side
    227,138.61x = 40,847,890,320.38
  5. Step 5: Solve for x
    x = 40,847,890,320.38/227,138.61
  6. Step 6: Final answer
    x = 179,836.84

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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.