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Finding the Fourth Proportional to 189,647.94, 284,370.78 and 82,906.95

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Solution

The fourth proportional to 189,647.94, 284,370.78 and 82,906.95 is: 124,316.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,647.94 : 284,370.78 = 82,906.95 : x
  2. Step 2: Convert to fraction form
    189,647.94/284,370.78 = 82,906.95/x
  3. Step 3: Cross multiply
    189,647.94x = 284,370.78 × 82,906.95
  4. Step 4: Simplify right side
    189,647.94x = 23,576,314,038.92
  5. Step 5: Solve for x
    x = 23,576,314,038.92/189,647.94
  6. Step 6: Final answer
    x = 124,316.21

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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.