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Finding the Fourth Proportional to 200,169.96, 300,213.45 and 73,777.47

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Solution

The fourth proportional to 200,169.96, 300,213.45 and 73,777.47 is: 110,650.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,169.96 : 300,213.45 = 73,777.47 : x
  2. Step 2: Convert to fraction form
    200,169.96/300,213.45 = 73,777.47/x
  3. Step 3: Cross multiply
    200,169.96x = 300,213.45 × 73,777.47
  4. Step 4: Simplify right side
    200,169.96x = 22,148,988,800.97
  5. Step 5: Solve for x
    x = 22,148,988,800.97/200,169.96
  6. Step 6: Final answer
    x = 110,650.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.