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Finding the Fourth Proportional to 135,716.77, 203,542.35 and 56,890

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Solution

The fourth proportional to 135,716.77, 203,542.35 and 56,890 is: 85,321.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,716.77 : 203,542.35 = 56,890 : x
  2. Step 2: Convert to fraction form
    135,716.77/203,542.35 = 56,890/x
  3. Step 3: Cross multiply
    135,716.77x = 203,542.35 × 56,890
  4. Step 4: Simplify right side
    135,716.77x = 11,579,524,291.50
  5. Step 5: Solve for x
    x = 11,579,524,291.50/135,716.77
  6. Step 6: Final answer
    x = 85,321.25

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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.