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Finding the Fourth Proportional to 189,296.61, 283,744.89 and 82,587.11

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Solution

The fourth proportional to 189,296.61, 283,744.89 and 82,587.11 is: 123,793.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,296.61 : 283,744.89 = 82,587.11 : x
  2. Step 2: Convert to fraction form
    189,296.61/283,744.89 = 82,587.11/x
  3. Step 3: Cross multiply
    189,296.61x = 283,744.89 × 82,587.11
  4. Step 4: Simplify right side
    189,296.61x = 23,433,669,023.64
  5. Step 5: Solve for x
    x = 23,433,669,023.64/189,296.61
  6. Step 6: Final answer
    x = 123,793.39

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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.