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Finding the Fourth Proportional to 166,965, 230,411.70 and 91,511.88

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Solution

The fourth proportional to 166,965, 230,411.70 and 91,511.88 is: 126,286.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,965 : 230,411.70 = 91,511.88 : x
  2. Step 2: Convert to fraction form
    166,965/230,411.70 = 91,511.88/x
  3. Step 3: Cross multiply
    166,965x = 230,411.70 × 91,511.88
  4. Step 4: Simplify right side
    166,965x = 21,085,407,841.00
  5. Step 5: Solve for x
    x = 21,085,407,841.00/166,965
  6. Step 6: Final answer
    x = 126,286.39

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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.