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Finding the Fourth Proportional to 185,430.24, 278,022.48 and 67,086

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Solution

The fourth proportional to 185,430.24, 278,022.48 and 67,086 is: 100,584.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,430.24 : 278,022.48 = 67,086 : x
  2. Step 2: Convert to fraction form
    185,430.24/278,022.48 = 67,086/x
  3. Step 3: Cross multiply
    185,430.24x = 278,022.48 × 67,086
  4. Step 4: Simplify right side
    185,430.24x = 18,651,416,093.28
  5. Step 5: Solve for x
    x = 18,651,416,093.28/185,430.24
  6. Step 6: Final answer
    x = 100,584.54

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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.