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Finding the Fourth Proportional to 189,055.73, 283,625.66 and 82,456.94

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Solution

The fourth proportional to 189,055.73, 283,625.66 and 82,456.94 is: 123,703.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,055.73 : 283,625.66 = 82,456.94 : x
  2. Step 2: Convert to fraction form
    189,055.73/283,625.66 = 82,456.94/x
  3. Step 3: Cross multiply
    189,055.73x = 283,625.66 × 82,456.94
  4. Step 4: Simplify right side
    189,055.73x = 23,386,904,944.29
  5. Step 5: Solve for x
    x = 23,386,904,944.29/189,055.73
  6. Step 6: Final answer
    x = 123,703.76

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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.