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Finding the Fourth Proportional to 133,306.88, 184,000 and 82,976

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Solution

The fourth proportional to 133,306.88, 184,000 and 82,976 is: 114,529.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,306.88 : 184,000 = 82,976 : x
  2. Step 2: Convert to fraction form
    133,306.88/184,000 = 82,976/x
  3. Step 3: Cross multiply
    133,306.88x = 184,000 × 82,976
  4. Step 4: Simplify right side
    133,306.88x = 15,267,584,000
  5. Step 5: Solve for x
    x = 15,267,584,000/133,306.88
  6. Step 6: Final answer
    x = 114,529.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.