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Finding the Fourth Proportional to 121,022.49, 166,998.24 and 67,298.82

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Solution

The fourth proportional to 121,022.49, 166,998.24 and 67,298.82 is: 92,865.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,022.49 : 166,998.24 = 67,298.82 : x
  2. Step 2: Convert to fraction form
    121,022.49/166,998.24 = 67,298.82/x
  3. Step 3: Cross multiply
    121,022.49x = 166,998.24 × 67,298.82
  4. Step 4: Simplify right side
    121,022.49x = 11,238,784,494.08
  5. Step 5: Solve for x
    x = 11,238,784,494.08/121,022.49
  6. Step 6: Final answer
    x = 92,865.26

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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.