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Finding the Fourth Proportional to 188,813.88, 283,137.69 and 100,046.91

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Solution

The fourth proportional to 188,813.88, 283,137.69 and 100,046.91 is: 150,026.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,813.88 : 283,137.69 = 100,046.91 : x
  2. Step 2: Convert to fraction form
    188,813.88/283,137.69 = 100,046.91/x
  3. Step 3: Cross multiply
    188,813.88x = 283,137.69 × 100,046.91
  4. Step 4: Simplify right side
    188,813.88x = 28,327,050,989.04
  5. Step 5: Solve for x
    x = 28,327,050,989.04/188,813.88
  6. Step 6: Final answer
    x = 150,026.32

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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.