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Finding the Fourth Proportional to 185,649.18, 256,195.89 and 100,766.22

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Solution

The fourth proportional to 185,649.18, 256,195.89 and 100,766.22 is: 139,057.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,649.18 : 256,195.89 = 100,766.22 : x
  2. Step 2: Convert to fraction form
    185,649.18/256,195.89 = 100,766.22/x
  3. Step 3: Cross multiply
    185,649.18x = 256,195.89 × 100,766.22
  4. Step 4: Simplify right side
    185,649.18x = 25,815,891,414.84
  5. Step 5: Solve for x
    x = 25,815,891,414.84/185,649.18
  6. Step 6: Final answer
    x = 139,057.40

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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.