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Finding the Fourth Proportional to 120,149.44, 165,799.52 and 66,431.22

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Solution

The fourth proportional to 120,149.44, 165,799.52 and 66,431.22 is: 91,671.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,149.44 : 165,799.52 = 66,431.22 : x
  2. Step 2: Convert to fraction form
    120,149.44/165,799.52 = 66,431.22/x
  3. Step 3: Cross multiply
    120,149.44x = 165,799.52 × 66,431.22
  4. Step 4: Simplify right side
    120,149.44x = 11,014,264,389.01
  5. Step 5: Solve for x
    x = 11,014,264,389.01/120,149.44
  6. Step 6: Final answer
    x = 91,671.38

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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.