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Finding the Fourth Proportional to 171,947.37, 257,993.96 and 83,266.95

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Solution

The fourth proportional to 171,947.37, 257,993.96 and 83,266.95 is: 124,935.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,947.37 : 257,993.96 = 83,266.95 : x
  2. Step 2: Convert to fraction form
    171,947.37/257,993.96 = 83,266.95/x
  3. Step 3: Cross multiply
    171,947.37x = 257,993.96 × 83,266.95
  4. Step 4: Simplify right side
    171,947.37x = 21,482,370,167.62
  5. Step 5: Solve for x
    x = 21,482,370,167.62/171,947.37
  6. Step 6: Final answer
    x = 124,935.73

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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.