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Finding the Fourth Proportional to 188,992.20, 283,385.90 and 78,195.40

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Solution

The fourth proportional to 188,992.20, 283,385.90 and 78,195.40 is: 117,250.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,992.20 : 283,385.90 = 78,195.40 : x
  2. Step 2: Convert to fraction form
    188,992.20/283,385.90 = 78,195.40/x
  3. Step 3: Cross multiply
    188,992.20x = 283,385.90 × 78,195.40
  4. Step 4: Simplify right side
    188,992.20x = 22,159,473,804.86
  5. Step 5: Solve for x
    x = 22,159,473,804.86/188,992.20
  6. Step 6: Final answer
    x = 117,250.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.