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Finding the Fourth Proportional to 171,025.20, 256,610.70 and 107,893.80

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Solution

The fourth proportional to 171,025.20, 256,610.70 and 107,893.80 is: 161,886.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,025.20 : 256,610.70 = 107,893.80 : x
  2. Step 2: Convert to fraction form
    171,025.20/256,610.70 = 107,893.80/x
  3. Step 3: Cross multiply
    171,025.20x = 256,610.70 × 107,893.80
  4. Step 4: Simplify right side
    171,025.20x = 27,686,703,543.66
  5. Step 5: Solve for x
    x = 27,686,703,543.66/171,025.20
  6. Step 6: Final answer
    x = 161,886.69

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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.