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Finding the Fourth Proportional to 133,469.70, 200,042.55 and 77,201.70

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Solution

The fourth proportional to 133,469.70, 200,042.55 and 77,201.70 is: 115,708.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,469.70 : 200,042.55 = 77,201.70 : x
  2. Step 2: Convert to fraction form
    133,469.70/200,042.55 = 77,201.70/x
  3. Step 3: Cross multiply
    133,469.70x = 200,042.55 × 77,201.70
  4. Step 4: Simplify right side
    133,469.70x = 15,443,624,932.34
  5. Step 5: Solve for x
    x = 15,443,624,932.34/133,469.70
  6. Step 6: Final answer
    x = 115,708.85

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1.5x scale

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.