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Finding the Fourth Proportional to 166,992.84, 230,451.48 and 91,541.88

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Solution

The fourth proportional to 166,992.84, 230,451.48 and 91,541.88 is: 126,328.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,992.84 : 230,451.48 = 91,541.88 : x
  2. Step 2: Convert to fraction form
    166,992.84/230,451.48 = 91,541.88/x
  3. Step 3: Cross multiply
    166,992.84x = 230,451.48 × 91,541.88
  4. Step 4: Simplify right side
    166,992.84x = 21,095,961,727.98
  5. Step 5: Solve for x
    x = 21,095,961,727.98/166,992.84
  6. Step 6: Final answer
    x = 126,328.54

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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.