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Finding the Fourth Proportional to 189,251.82, 283,866.57 and 70,913.25

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Solution

The fourth proportional to 189,251.82, 283,866.57 and 70,913.25 is: 106,365.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,251.82 : 283,866.57 = 70,913.25 : x
  2. Step 2: Convert to fraction form
    189,251.82/283,866.57 = 70,913.25/x
  3. Step 3: Cross multiply
    189,251.82x = 283,866.57 × 70,913.25
  4. Step 4: Simplify right side
    189,251.82x = 20,129,901,045.05
  5. Step 5: Solve for x
    x = 20,129,901,045.05/189,251.82
  6. Step 6: Final answer
    x = 106,365.69

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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.