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Finding the Fourth Proportional to 270,649.20, 405,935.40 and 83,679.60

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Solution

The fourth proportional to 270,649.20, 405,935.40 and 83,679.60 is: 125,507.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,649.20 : 405,935.40 = 83,679.60 : x
  2. Step 2: Convert to fraction form
    270,649.20/405,935.40 = 83,679.60/x
  3. Step 3: Cross multiply
    270,649.20x = 405,935.40 × 83,679.60
  4. Step 4: Simplify right side
    270,649.20x = 33,968,511,897.84
  5. Step 5: Solve for x
    x = 33,968,511,897.84/270,649.20
  6. Step 6: Final answer
    x = 125,507.53

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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.