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Finding the Fourth Proportional to 119,893.41, 165,452.91 and 66,178.44

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Solution

The fourth proportional to 119,893.41, 165,452.91 and 66,178.44 is: 91,326.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,893.41 : 165,452.91 = 66,178.44 : x
  2. Step 2: Convert to fraction form
    119,893.41/165,452.91 = 66,178.44/x
  3. Step 3: Cross multiply
    119,893.41x = 165,452.91 × 66,178.44
  4. Step 4: Simplify right side
    119,893.41x = 10,949,414,319.10
  5. Step 5: Solve for x
    x = 10,949,414,319.10/119,893.41
  6. Step 6: Final answer
    x = 91,326.24

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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.