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Finding the Fourth Proportional to 188,942.80, 283,721.40 and 136,718.80

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Solution

The fourth proportional to 188,942.80, 283,721.40 and 136,718.80 is: 205,300.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,942.80 : 283,721.40 = 136,718.80 : x
  2. Step 2: Convert to fraction form
    188,942.80/283,721.40 = 136,718.80/x
  3. Step 3: Cross multiply
    188,942.80x = 283,721.40 × 136,718.80
  4. Step 4: Simplify right side
    188,942.80x = 38,790,049,342.32
  5. Step 5: Solve for x
    x = 38,790,049,342.32/188,942.80
  6. Step 6: Final answer
    x = 205,300.49

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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.