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Finding the Fourth Proportional to 188,941, 283,125.84 and 113,977.84

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Solution

The fourth proportional to 188,941, 283,125.84 and 113,977.84 is: 170,794.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,941 : 283,125.84 = 113,977.84 : x
  2. Step 2: Convert to fraction form
    188,941/283,125.84 = 113,977.84/x
  3. Step 3: Cross multiply
    188,941x = 283,125.84 × 113,977.84
  4. Step 4: Simplify right side
    188,941x = 32,270,071,691.39
  5. Step 5: Solve for x
    x = 32,270,071,691.39/188,941
  6. Step 6: Final answer
    x = 170,794.44

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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.