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Finding the Fourth Proportional to 90,180, 135,288.46 and 31,007.99

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Solution

The fourth proportional to 90,180, 135,288.46 and 31,007.99 is: 46,518.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,180 : 135,288.46 = 31,007.99 : x
  2. Step 2: Convert to fraction form
    90,180/135,288.46 = 31,007.99/x
  3. Step 3: Cross multiply
    90,180x = 135,288.46 × 31,007.99
  4. Step 4: Simplify right side
    90,180x = 4,195,023,214.80
  5. Step 5: Solve for x
    x = 4,195,023,214.80/90,180
  6. Step 6: Final answer
    x = 46,518.33

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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.