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Finding the Fourth Proportional to 121,024.14, 166,993.02 and 67,302

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Solution

The fourth proportional to 121,024.14, 166,993.02 and 67,302 is: 92,865.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,024.14 : 166,993.02 = 67,302 : x
  2. Step 2: Convert to fraction form
    121,024.14/166,993.02 = 67,302/x
  3. Step 3: Cross multiply
    121,024.14x = 166,993.02 × 67,302
  4. Step 4: Simplify right side
    121,024.14x = 11,238,964,232.04
  5. Step 5: Solve for x
    x = 11,238,964,232.04/121,024.14
  6. Step 6: Final answer
    x = 92,865.47

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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.