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Finding the Fourth Proportional to 270,649.40, 405,974.10 and 83,679.80

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Solution

The fourth proportional to 270,649.40, 405,974.10 and 83,679.80 is: 125,519.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,649.40 : 405,974.10 = 83,679.80 : x
  2. Step 2: Convert to fraction form
    270,649.40/405,974.10 = 83,679.80/x
  3. Step 3: Cross multiply
    270,649.40x = 405,974.10 × 83,679.80
  4. Step 4: Simplify right side
    270,649.40x = 33,971,831,493.18
  5. Step 5: Solve for x
    x = 33,971,831,493.18/270,649.40
  6. Step 6: Final answer
    x = 125,519.70

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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.