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Finding the Fourth Proportional to 166,111.44, 229,198.56 and 105,660

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Solution

The fourth proportional to 166,111.44, 229,198.56 and 105,660 is: 145,788.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,111.44 : 229,198.56 = 105,660 : x
  2. Step 2: Convert to fraction form
    166,111.44/229,198.56 = 105,660/x
  3. Step 3: Cross multiply
    166,111.44x = 229,198.56 × 105,660
  4. Step 4: Simplify right side
    166,111.44x = 24,217,119,849.60
  5. Step 5: Solve for x
    x = 24,217,119,849.60/166,111.44
  6. Step 6: Final answer
    x = 145,788.39

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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.