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Finding the Fourth Proportional to 188,951.94, 283,432.16 and 70,558.70

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Solution

The fourth proportional to 188,951.94, 283,432.16 and 70,558.70 is: 105,839.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,951.94 : 283,432.16 = 70,558.70 : x
  2. Step 2: Convert to fraction form
    188,951.94/283,432.16 = 70,558.70/x
  3. Step 3: Cross multiply
    188,951.94x = 283,432.16 × 70,558.70
  4. Step 4: Simplify right side
    188,951.94x = 19,998,603,507.03
  5. Step 5: Solve for x
    x = 19,998,603,507.03/188,951.94
  6. Step 6: Final answer
    x = 105,839.63

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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.