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Finding the Fourth Proportional to 189,076.49, 283,656.87 and 82,477.79

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Solution

The fourth proportional to 189,076.49, 283,656.87 and 82,477.79 is: 123,735.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,076.49 : 283,656.87 = 82,477.79 : x
  2. Step 2: Convert to fraction form
    189,076.49/283,656.87 = 82,477.79/x
  3. Step 3: Cross multiply
    189,076.49x = 283,656.87 × 82,477.79
  4. Step 4: Simplify right side
    189,076.49x = 23,395,391,755.92
  5. Step 5: Solve for x
    x = 23,395,391,755.92/189,076.49
  6. Step 6: Final answer
    x = 123,735.06

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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.