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Finding the Fourth Proportional to 194,215.88, 268,043.46 and 109,349.48

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Solution

The fourth proportional to 194,215.88, 268,043.46 and 109,349.48 is: 150,916.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,215.88 : 268,043.46 = 109,349.48 : x
  2. Step 2: Convert to fraction form
    194,215.88/268,043.46 = 109,349.48/x
  3. Step 3: Cross multiply
    194,215.88x = 268,043.46 × 109,349.48
  4. Step 4: Simplify right side
    194,215.88x = 29,310,412,968.40
  5. Step 5: Solve for x
    x = 29,310,412,968.40/194,215.88
  6. Step 6: Final answer
    x = 150,916.67

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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.