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Finding the Fourth Proportional to 189,046.43, 283,625.01 and 55,930.26

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Solution

The fourth proportional to 189,046.43, 283,625.01 and 55,930.26 is: 83,911.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,046.43 : 283,625.01 = 55,930.26 : x
  2. Step 2: Convert to fraction form
    189,046.43/283,625.01 = 55,930.26/x
  3. Step 3: Cross multiply
    189,046.43x = 283,625.01 × 55,930.26
  4. Step 4: Simplify right side
    189,046.43x = 15,863,220,551.80
  5. Step 5: Solve for x
    x = 15,863,220,551.80/189,046.43
  6. Step 6: Final answer
    x = 83,911.77

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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.