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Finding the Fourth Proportional to 188,042.96, 282,062.28 and 63,471.44

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Solution

The fourth proportional to 188,042.96, 282,062.28 and 63,471.44 is: 95,206.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,042.96 : 282,062.28 = 63,471.44 : x
  2. Step 2: Convert to fraction form
    188,042.96/282,062.28 = 63,471.44/x
  3. Step 3: Cross multiply
    188,042.96x = 282,062.28 × 63,471.44
  4. Step 4: Simplify right side
    188,042.96x = 17,902,899,081.28
  5. Step 5: Solve for x
    x = 17,902,899,081.28/188,042.96
  6. Step 6: Final answer
    x = 95,206.43

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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.