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Finding the Fourth Proportional to 120,198.38, 165,862.60 and 66,482.24

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Solution

The fourth proportional to 120,198.38, 165,862.60 and 66,482.24 is: 91,739.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,198.38 : 165,862.60 = 66,482.24 : x
  2. Step 2: Convert to fraction form
    120,198.38/165,862.60 = 66,482.24/x
  3. Step 3: Cross multiply
    120,198.38x = 165,862.60 × 66,482.24
  4. Step 4: Simplify right side
    120,198.38x = 11,026,917,180.22
  5. Step 5: Solve for x
    x = 11,026,917,180.22/120,198.38
  6. Step 6: Final answer
    x = 91,739.32

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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.