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Finding the Fourth Proportional to 239,944.68, 359,936.16 and 82,174.50

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Solution

The fourth proportional to 239,944.68, 359,936.16 and 82,174.50 is: 123,268.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,944.68 : 359,936.16 = 82,174.50 : x
  2. Step 2: Convert to fraction form
    239,944.68/359,936.16 = 82,174.50/x
  3. Step 3: Cross multiply
    239,944.68x = 359,936.16 × 82,174.50
  4. Step 4: Simplify right side
    239,944.68x = 29,577,573,671.77
  5. Step 5: Solve for x
    x = 29,577,573,671.77/239,944.68
  6. Step 6: Final answer
    x = 123,268.30

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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.