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Finding the Fourth Proportional to 102,814.08, 154,233.45 and 36,240.45

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Solution

The fourth proportional to 102,814.08, 154,233.45 and 36,240.45 is: 54,365.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,814.08 : 154,233.45 = 36,240.45 : x
  2. Step 2: Convert to fraction form
    102,814.08/154,233.45 = 36,240.45/x
  3. Step 3: Cross multiply
    102,814.08x = 154,233.45 × 36,240.45
  4. Step 4: Simplify right side
    102,814.08x = 5,589,489,633.05
  5. Step 5: Solve for x
    x = 5,589,489,633.05/102,814.08
  6. Step 6: Final answer
    x = 54,365.02

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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.