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Finding the Fourth Proportional to 188,488, 282,660.18 and 83,249.56

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Solution

The fourth proportional to 188,488, 282,660.18 and 83,249.56 is: 124,842.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,488 : 282,660.18 = 83,249.56 : x
  2. Step 2: Convert to fraction form
    188,488/282,660.18 = 83,249.56/x
  3. Step 3: Cross multiply
    188,488x = 282,660.18 × 83,249.56
  4. Step 4: Simplify right side
    188,488x = 23,531,335,614.52
  5. Step 5: Solve for x
    x = 23,531,335,614.52/188,488
  6. Step 6: Final answer
    x = 124,842.62

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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.