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Finding the Fourth Proportional to 188,634.38, 260,299.64 and 111,097.73

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Solution

The fourth proportional to 188,634.38, 260,299.64 and 111,097.73 is: 153,305.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,634.38 : 260,299.64 = 111,097.73 : x
  2. Step 2: Convert to fraction form
    188,634.38/260,299.64 = 111,097.73/x
  3. Step 3: Cross multiply
    188,634.38x = 260,299.64 × 111,097.73
  4. Step 4: Simplify right side
    188,634.38x = 28,918,700,052.31
  5. Step 5: Solve for x
    x = 28,918,700,052.31/188,634.38
  6. Step 6: Final answer
    x = 153,305.57

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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.