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Finding the Fourth Proportional to 166,898, 230,324.64 and 91,451.36

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Solution

The fourth proportional to 166,898, 230,324.64 and 91,451.36 is: 126,205.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,898 : 230,324.64 = 91,451.36 : x
  2. Step 2: Convert to fraction form
    166,898/230,324.64 = 91,451.36/x
  3. Step 3: Cross multiply
    166,898x = 230,324.64 × 91,451.36
  4. Step 4: Simplify right side
    166,898x = 21,063,501,569.51
  5. Step 5: Solve for x
    x = 21,063,501,569.51/166,898
  6. Step 6: Final answer
    x = 126,205.84

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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.