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Finding the Fourth Proportional to 135,194.21, 202,820.40 and 40,431.90

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Solution

The fourth proportional to 135,194.21, 202,820.40 and 40,431.90 is: 60,656.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,194.21 : 202,820.40 = 40,431.90 : x
  2. Step 2: Convert to fraction form
    135,194.21/202,820.40 = 40,431.90/x
  3. Step 3: Cross multiply
    135,194.21x = 202,820.40 × 40,431.90
  4. Step 4: Simplify right side
    135,194.21x = 8,200,414,130.76
  5. Step 5: Solve for x
    x = 8,200,414,130.76/135,194.21
  6. Step 6: Final answer
    x = 60,656.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.