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Finding the Fourth Proportional to 189,173.54, 283,761.34 and 56,054.95

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Solution

The fourth proportional to 189,173.54, 283,761.34 and 56,054.95 is: 84,082.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,173.54 : 283,761.34 = 56,054.95 : x
  2. Step 2: Convert to fraction form
    189,173.54/283,761.34 = 56,054.95/x
  3. Step 3: Cross multiply
    189,173.54x = 283,761.34 × 56,054.95
  4. Step 4: Simplify right side
    189,173.54x = 15,906,228,435.04
  5. Step 5: Solve for x
    x = 15,906,228,435.04/189,173.54
  6. Step 6: Final answer
    x = 84,082.73

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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.