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Finding the Fourth Proportional to 115,222.56, 159,037.20 and 75,046.56

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Solution

The fourth proportional to 115,222.56, 159,037.20 and 75,046.56 is: 103,583.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,222.56 : 159,037.20 = 75,046.56 : x
  2. Step 2: Convert to fraction form
    115,222.56/159,037.20 = 75,046.56/x
  3. Step 3: Cross multiply
    115,222.56x = 159,037.20 × 75,046.56
  4. Step 4: Simplify right side
    115,222.56x = 11,935,194,772.03
  5. Step 5: Solve for x
    x = 11,935,194,772.03/115,222.56
  6. Step 6: Final answer
    x = 103,583.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.