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Finding the Fourth Proportional to 166,806, 230,192.28 and 107,190

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Solution

The fourth proportional to 166,806, 230,192.28 and 107,190 is: 147,922.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,806 : 230,192.28 = 107,190 : x
  2. Step 2: Convert to fraction form
    166,806/230,192.28 = 107,190/x
  3. Step 3: Cross multiply
    166,806x = 230,192.28 × 107,190
  4. Step 4: Simplify right side
    166,806x = 24,674,310,493.20
  5. Step 5: Solve for x
    x = 24,674,310,493.20/166,806
  6. Step 6: Final answer
    x = 147,922.20

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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.