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Finding the Fourth Proportional to 123,235.12, 169,910.38 and 102,846.51

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Solution

The fourth proportional to 123,235.12, 169,910.38 and 102,846.51 is: 141,799.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,235.12 : 169,910.38 = 102,846.51 : x
  2. Step 2: Convert to fraction form
    123,235.12/169,910.38 = 102,846.51/x
  3. Step 3: Cross multiply
    123,235.12x = 169,910.38 × 102,846.51
  4. Step 4: Simplify right side
    123,235.12x = 17,474,690,013.59
  5. Step 5: Solve for x
    x = 17,474,690,013.59/123,235.12
  6. Step 6: Final answer
    x = 141,799.59

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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.