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Finding the Fourth Proportional to 133,684.56, 200,566.20 and 40,204.56

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Solution

The fourth proportional to 133,684.56, 200,566.20 and 40,204.56 is: 60,318.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,684.56 : 200,566.20 = 40,204.56 : x
  2. Step 2: Convert to fraction form
    133,684.56/200,566.20 = 40,204.56/x
  3. Step 3: Cross multiply
    133,684.56x = 200,566.20 × 40,204.56
  4. Step 4: Simplify right side
    133,684.56x = 8,063,675,821.87
  5. Step 5: Solve for x
    x = 8,063,675,821.87/133,684.56
  6. Step 6: Final answer
    x = 60,318.68

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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.