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Finding the Fourth Proportional to 170,995.98, 256,481.80 and 52,654.98

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Solution

The fourth proportional to 170,995.98, 256,481.80 and 52,654.98 is: 78,978.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,995.98 : 256,481.80 = 52,654.98 : x
  2. Step 2: Convert to fraction form
    170,995.98/256,481.80 = 52,654.98/x
  3. Step 3: Cross multiply
    170,995.98x = 256,481.80 × 52,654.98
  4. Step 4: Simplify right side
    170,995.98x = 13,505,044,049.36
  5. Step 5: Solve for x
    x = 13,505,044,049.36/170,995.98
  6. Step 6: Final answer
    x = 78,978.72

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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.