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Finding the Fourth Proportional to 189,086.86, 283,550.10 and 70,675.39

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Solution

The fourth proportional to 189,086.86, 283,550.10 and 70,675.39 is: 105,983.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,086.86 : 283,550.10 = 70,675.39 : x
  2. Step 2: Convert to fraction form
    189,086.86/283,550.10 = 70,675.39/x
  3. Step 3: Cross multiply
    189,086.86x = 283,550.10 × 70,675.39
  4. Step 4: Simplify right side
    189,086.86x = 20,040,013,902.04
  5. Step 5: Solve for x
    x = 20,040,013,902.04/189,086.86
  6. Step 6: Final answer
    x = 105,983.11

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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.