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Finding the Fourth Proportional to 230,074.56, 344,936.16 and 72,211.68

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Solution

The fourth proportional to 230,074.56, 344,936.16 and 72,211.68 is: 108,262.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,074.56 : 344,936.16 = 72,211.68 : x
  2. Step 2: Convert to fraction form
    230,074.56/344,936.16 = 72,211.68/x
  3. Step 3: Cross multiply
    230,074.56x = 344,936.16 × 72,211.68
  4. Step 4: Simplify right side
    230,074.56x = 24,908,419,606.35
  5. Step 5: Solve for x
    x = 24,908,419,606.35/230,074.56
  6. Step 6: Final answer
    x = 108,262.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.