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Finding the Fourth Proportional to 166,108, 229,235.36 and 94,494.56

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Solution

The fourth proportional to 166,108, 229,235.36 and 94,494.56 is: 130,406.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,108 : 229,235.36 = 94,494.56 : x
  2. Step 2: Convert to fraction form
    166,108/229,235.36 = 94,494.56/x
  3. Step 3: Cross multiply
    166,108x = 229,235.36 × 94,494.56
  4. Step 4: Simplify right side
    166,108x = 21,661,494,479.64
  5. Step 5: Solve for x
    x = 21,661,494,479.64/166,108
  6. Step 6: Final answer
    x = 130,406.09

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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.