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Finding the Fourth Proportional to 275,741.66, 413,254.88 and 123,826.56

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Solution

The fourth proportional to 275,741.66, 413,254.88 and 123,826.56 is: 185,579.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,741.66 : 413,254.88 = 123,826.56 : x
  2. Step 2: Convert to fraction form
    275,741.66/413,254.88 = 123,826.56/x
  3. Step 3: Cross multiply
    275,741.66x = 413,254.88 × 123,826.56
  4. Step 4: Simplify right side
    275,741.66x = 51,171,930,193.61
  5. Step 5: Solve for x
    x = 51,171,930,193.61/275,741.66
  6. Step 6: Final answer
    x = 185,579.25

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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.