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Finding the Fourth Proportional to 189,227.70, 283,793.16 and 56,076.87

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Solution

The fourth proportional to 189,227.70, 283,793.16 and 56,076.87 is: 84,100.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,227.70 : 283,793.16 = 56,076.87 : x
  2. Step 2: Convert to fraction form
    189,227.70/283,793.16 = 56,076.87/x
  3. Step 3: Cross multiply
    189,227.70x = 283,793.16 × 56,076.87
  4. Step 4: Simplify right side
    189,227.70x = 15,914,232,140.21
  5. Step 5: Solve for x
    x = 15,914,232,140.21/189,227.70
  6. Step 6: Final answer
    x = 84,100.96

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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.