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Finding the Fourth Proportional to 90,234.25, 135,379.06 and 40,356.30

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Solution

The fourth proportional to 90,234.25, 135,379.06 and 40,356.30 is: 60,546.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,234.25 : 135,379.06 = 40,356.30 : x
  2. Step 2: Convert to fraction form
    90,234.25/135,379.06 = 40,356.30/x
  3. Step 3: Cross multiply
    90,234.25x = 135,379.06 × 40,356.30
  4. Step 4: Simplify right side
    90,234.25x = 5,463,398,041.86
  5. Step 5: Solve for x
    x = 5,463,398,041.86/90,234.25
  6. Step 6: Final answer
    x = 60,546.83

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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.