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Finding the Fourth Proportional to 170,745.20, 256,117.80 and 81,977.30

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Solution

The fourth proportional to 170,745.20, 256,117.80 and 81,977.30 is: 122,965.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,745.20 : 256,117.80 = 81,977.30 : x
  2. Step 2: Convert to fraction form
    170,745.20/256,117.80 = 81,977.30/x
  3. Step 3: Cross multiply
    170,745.20x = 256,117.80 × 81,977.30
  4. Step 4: Simplify right side
    170,745.20x = 20,995,845,725.94
  5. Step 5: Solve for x
    x = 20,995,845,725.94/170,745.20
  6. Step 6: Final answer
    x = 122,965.95

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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.