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Finding the Fourth Proportional to 301,034.12, 451,821.90 and 160,912.52

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Solution

The fourth proportional to 301,034.12, 451,821.90 and 160,912.52 is: 241,513.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,034.12 : 451,821.90 = 160,912.52 : x
  2. Step 2: Convert to fraction form
    301,034.12/451,821.90 = 160,912.52/x
  3. Step 3: Cross multiply
    301,034.12x = 451,821.90 × 160,912.52
  4. Step 4: Simplify right side
    301,034.12x = 72,703,800,520.19
  5. Step 5: Solve for x
    x = 72,703,800,520.19/301,034.12
  6. Step 6: Final answer
    x = 241,513.49

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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.