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Finding the Fourth Proportional to 189,032.64, 283,604.31 and 55,916.44

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Solution

The fourth proportional to 189,032.64, 283,604.31 and 55,916.44 is: 83,891.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,032.64 : 283,604.31 = 55,916.44 : x
  2. Step 2: Convert to fraction form
    189,032.64/283,604.31 = 55,916.44/x
  3. Step 3: Cross multiply
    189,032.64x = 283,604.31 × 55,916.44
  4. Step 4: Simplify right side
    189,032.64x = 15,858,142,674.85
  5. Step 5: Solve for x
    x = 15,858,142,674.85/189,032.64
  6. Step 6: Final answer
    x = 83,891.03

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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.