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Finding the Fourth Proportional to 166,946.56, 230,387.12 and 91,497.76

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Solution

The fourth proportional to 166,946.56, 230,387.12 and 91,497.76 is: 126,267.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,946.56 : 230,387.12 = 91,497.76 : x
  2. Step 2: Convert to fraction form
    166,946.56/230,387.12 = 91,497.76/x
  3. Step 3: Cross multiply
    166,946.56x = 230,387.12 × 91,497.76
  4. Step 4: Simplify right side
    166,946.56x = 21,079,905,412.85
  5. Step 5: Solve for x
    x = 21,079,905,412.85/166,946.56
  6. Step 6: Final answer
    x = 126,267.38

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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.