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Finding the Fourth Proportional to 185,647.41, 256,198.05 and 100,764.27

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Solution

The fourth proportional to 185,647.41, 256,198.05 and 100,764.27 is: 139,057.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,647.41 : 256,198.05 = 100,764.27 : x
  2. Step 2: Convert to fraction form
    185,647.41/256,198.05 = 100,764.27/x
  3. Step 3: Cross multiply
    185,647.41x = 256,198.05 × 100,764.27
  4. Step 4: Simplify right side
    185,647.41x = 25,815,609,483.67
  5. Step 5: Solve for x
    x = 25,815,609,483.67/185,647.41
  6. Step 6: Final answer
    x = 139,057.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.