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Finding the Fourth Proportional to 227,711.80, 341,664.90 and 109,322.20

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Solution

The fourth proportional to 227,711.80, 341,664.90 and 109,322.20 is: 164,029.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,711.80 : 341,664.90 = 109,322.20 : x
  2. Step 2: Convert to fraction form
    227,711.80/341,664.90 = 109,322.20/x
  3. Step 3: Cross multiply
    227,711.80x = 341,664.90 × 109,322.20
  4. Step 4: Simplify right side
    227,711.80x = 37,351,558,530.78
  5. Step 5: Solve for x
    x = 37,351,558,530.78/227,711.80
  6. Step 6: Final answer
    x = 164,029.96

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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.