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Finding the Fourth Proportional to 170,795.70, 256,193.55 and 82,027.80

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Solution

The fourth proportional to 170,795.70, 256,193.55 and 82,027.80 is: 123,041.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,795.70 : 256,193.55 = 82,027.80 : x
  2. Step 2: Convert to fraction form
    170,795.70/256,193.55 = 82,027.80/x
  3. Step 3: Cross multiply
    170,795.70x = 256,193.55 × 82,027.80
  4. Step 4: Simplify right side
    170,795.70x = 21,014,993,280.69
  5. Step 5: Solve for x
    x = 21,014,993,280.69/170,795.70
  6. Step 6: Final answer
    x = 123,041.70

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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.