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Finding the Fourth Proportional to 135,233.40, 202,850.10 and 61,505.40

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Solution

The fourth proportional to 135,233.40, 202,850.10 and 61,505.40 is: 92,258.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,233.40 : 202,850.10 = 61,505.40 : x
  2. Step 2: Convert to fraction form
    135,233.40/202,850.10 = 61,505.40/x
  3. Step 3: Cross multiply
    135,233.40x = 202,850.10 × 61,505.40
  4. Step 4: Simplify right side
    135,233.40x = 12,476,376,540.54
  5. Step 5: Solve for x
    x = 12,476,376,540.54/135,233.40
  6. Step 6: Final answer
    x = 92,258.10

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Why These Related Problems?

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