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Finding the Fourth Proportional to 135,204.84, 202,836.24 and 40,442.36

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Solution

The fourth proportional to 135,204.84, 202,836.24 and 40,442.36 is: 60,672.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,204.84 : 202,836.24 = 40,442.36 : x
  2. Step 2: Convert to fraction form
    135,204.84/202,836.24 = 40,442.36/x
  3. Step 3: Cross multiply
    135,204.84x = 202,836.24 × 40,442.36
  4. Step 4: Simplify right side
    135,204.84x = 8,203,175,224.95
  5. Step 5: Solve for x
    x = 8,203,175,224.95/135,204.84
  6. Step 6: Final answer
    x = 60,672.20

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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.