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Finding the Fourth Proportional to 189,142.77, 283,755.66 and 56,033.44

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Solution

The fourth proportional to 189,142.77, 283,755.66 and 56,033.44 is: 84,062.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,142.77 : 283,755.66 = 56,033.44 : x
  2. Step 2: Convert to fraction form
    189,142.77/283,755.66 = 56,033.44/x
  3. Step 3: Cross multiply
    189,142.77x = 283,755.66 × 56,033.44
  4. Step 4: Simplify right side
    189,142.77x = 15,899,805,749.27
  5. Step 5: Solve for x
    x = 15,899,805,749.27/189,142.77
  6. Step 6: Final answer
    x = 84,062.46

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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.