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Finding the Fourth Proportional to 119,894.41, 165,454.29 and 66,179.44

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Solution

The fourth proportional to 119,894.41, 165,454.29 and 66,179.44 is: 91,327.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,894.41 : 165,454.29 = 66,179.44 : x
  2. Step 2: Convert to fraction form
    119,894.41/165,454.29 = 66,179.44/x
  3. Step 3: Cross multiply
    119,894.41x = 165,454.29 × 66,179.44
  4. Step 4: Simplify right side
    119,894.41x = 10,949,672,257.80
  5. Step 5: Solve for x
    x = 10,949,672,257.80/119,894.41
  6. Step 6: Final answer
    x = 91,327.63

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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.