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Finding the Fourth Proportional to 201,042.14, 301,451.42 and 82,793.48

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Solution

The fourth proportional to 201,042.14, 301,451.42 and 82,793.48 is: 124,144.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,042.14 : 301,451.42 = 82,793.48 : x
  2. Step 2: Convert to fraction form
    201,042.14/301,451.42 = 82,793.48/x
  3. Step 3: Cross multiply
    201,042.14x = 301,451.42 × 82,793.48
  4. Step 4: Simplify right side
    201,042.14x = 24,958,210,812.47
  5. Step 5: Solve for x
    x = 24,958,210,812.47/201,042.14
  6. Step 6: Final answer
    x = 124,144.18

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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.