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Finding the Fourth Proportional to 133,622.85, 200,443.62 and 53,660.81

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Solution

The fourth proportional to 133,622.85, 200,443.62 and 53,660.81 is: 80,494.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,622.85 : 200,443.62 = 53,660.81 : x
  2. Step 2: Convert to fraction form
    133,622.85/200,443.62 = 53,660.81/x
  3. Step 3: Cross multiply
    133,622.85x = 200,443.62 × 53,660.81
  4. Step 4: Simplify right side
    133,622.85x = 10,755,966,006.31
  5. Step 5: Solve for x
    x = 10,755,966,006.31/133,622.85
  6. Step 6: Final answer
    x = 80,494.96

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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.