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Finding the Fourth Proportional to 200,142.45, 300,166.78 and 57,949.69

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Solution

The fourth proportional to 200,142.45, 300,166.78 and 57,949.69 is: 86,910.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,142.45 : 300,166.78 = 57,949.69 : x
  2. Step 2: Convert to fraction form
    200,142.45/300,166.78 = 57,949.69/x
  3. Step 3: Cross multiply
    200,142.45x = 300,166.78 × 57,949.69
  4. Step 4: Simplify right side
    200,142.45x = 17,394,571,803.11
  5. Step 5: Solve for x
    x = 17,394,571,803.11/200,142.45
  6. Step 6: Final answer
    x = 86,910.96

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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.