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Finding the Fourth Proportional to 243,770.44, 365,701.38 and 110,660

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Solution

The fourth proportional to 243,770.44, 365,701.38 and 110,660 is: 166,010.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,770.44 : 365,701.38 = 110,660 : x
  2. Step 2: Convert to fraction form
    243,770.44/365,701.38 = 110,660/x
  3. Step 3: Cross multiply
    243,770.44x = 365,701.38 × 110,660
  4. Step 4: Simplify right side
    243,770.44x = 40,468,514,710.80
  5. Step 5: Solve for x
    x = 40,468,514,710.80/243,770.44
  6. Step 6: Final answer
    x = 166,010.75

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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.