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Finding the Fourth Proportional to 185,756.49, 278,733.15 and 80,649.27

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Solution

The fourth proportional to 185,756.49, 278,733.15 and 80,649.27 is: 121,016.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,756.49 : 278,733.15 = 80,649.27 : x
  2. Step 2: Convert to fraction form
    185,756.49/278,733.15 = 80,649.27/x
  3. Step 3: Cross multiply
    185,756.49x = 278,733.15 × 80,649.27
  4. Step 4: Simplify right side
    185,756.49x = 22,479,625,072.30
  5. Step 5: Solve for x
    x = 22,479,625,072.30/185,756.49
  6. Step 6: Final answer
    x = 121,016.63

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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.