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Finding the Fourth Proportional to 133,640.80, 200,247.96 and 97,936.66

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Solution

The fourth proportional to 133,640.80, 200,247.96 and 97,936.66 is: 146,748.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,640.80 : 200,247.96 = 97,936.66 : x
  2. Step 2: Convert to fraction form
    133,640.80/200,247.96 = 97,936.66/x
  3. Step 3: Cross multiply
    133,640.80x = 200,247.96 × 97,936.66
  4. Step 4: Simplify right side
    133,640.80x = 19,611,616,991.79
  5. Step 5: Solve for x
    x = 19,611,616,991.79/133,640.80
  6. Step 6: Final answer
    x = 146,748.73

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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.