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Finding the Fourth Proportional to 120,126.57, 165,766.53 and 66,404.33

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Solution

The fourth proportional to 120,126.57, 165,766.53 and 66,404.33 is: 91,633.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,126.57 : 165,766.53 = 66,404.33 : x
  2. Step 2: Convert to fraction form
    120,126.57/165,766.53 = 66,404.33/x
  3. Step 3: Cross multiply
    120,126.57x = 165,766.53 × 66,404.33
  4. Step 4: Simplify right side
    120,126.57x = 11,007,615,361.07
  5. Step 5: Solve for x
    x = 11,007,615,361.07/120,126.57
  6. Step 6: Final answer
    x = 91,633.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.