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Finding the Fourth Proportional to 188,893.62, 283,415.76 and 185,907.96

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Solution

The fourth proportional to 188,893.62, 283,415.76 and 185,907.96 is: 278,936.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,893.62 : 283,415.76 = 185,907.96 : x
  2. Step 2: Convert to fraction form
    188,893.62/283,415.76 = 185,907.96/x
  3. Step 3: Cross multiply
    188,893.62x = 283,415.76 × 185,907.96
  4. Step 4: Simplify right side
    188,893.62x = 52,689,245,773.45
  5. Step 5: Solve for x
    x = 52,689,245,773.45/188,893.62
  6. Step 6: Final answer
    x = 278,936.08

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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.