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Finding the Fourth Proportional to 188,462.92, 259,992.12 and 115,799.84

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Solution

The fourth proportional to 188,462.92, 259,992.12 and 115,799.84 is: 159,750.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,462.92 : 259,992.12 = 115,799.84 : x
  2. Step 2: Convert to fraction form
    188,462.92/259,992.12 = 115,799.84/x
  3. Step 3: Cross multiply
    188,462.92x = 259,992.12 × 115,799.84
  4. Step 4: Simplify right side
    188,462.92x = 30,107,046,981.49
  5. Step 5: Solve for x
    x = 30,107,046,981.49/188,462.92
  6. Step 6: Final answer
    x = 159,750.51

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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.