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Finding the Fourth Proportional to 68,314.40, 102,471.60 and 40,205.60

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Solution

The fourth proportional to 68,314.40, 102,471.60 and 40,205.60 is: 60,308.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,314.40 : 102,471.60 = 40,205.60 : x
  2. Step 2: Convert to fraction form
    68,314.40/102,471.60 = 40,205.60/x
  3. Step 3: Cross multiply
    68,314.40x = 102,471.60 × 40,205.60
  4. Step 4: Simplify right side
    68,314.40x = 4,119,932,160.96
  5. Step 5: Solve for x
    x = 4,119,932,160.96/68,314.40
  6. Step 6: Final answer
    x = 60,308.40

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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.