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Finding the Fourth Proportional to 275,427.20, 413,198.40 and 88,457.60

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Solution

The fourth proportional to 275,427.20, 413,198.40 and 88,457.60 is: 132,704.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,427.20 : 413,198.40 = 88,457.60 : x
  2. Step 2: Convert to fraction form
    275,427.20/413,198.40 = 88,457.60/x
  3. Step 3: Cross multiply
    275,427.20x = 413,198.40 × 88,457.60
  4. Step 4: Simplify right side
    275,427.20x = 36,550,538,787.84
  5. Step 5: Solve for x
    x = 36,550,538,787.84/275,427.20
  6. Step 6: Final answer
    x = 132,704.90

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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.