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Finding the Fourth Proportional to 138,969.50, 208,453.64 and 33,789.38

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Solution

The fourth proportional to 138,969.50, 208,453.64 and 33,789.38 is: 50,683.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,969.50 : 208,453.64 = 33,789.38 : x
  2. Step 2: Convert to fraction form
    138,969.50/208,453.64 = 33,789.38/x
  3. Step 3: Cross multiply
    138,969.50x = 208,453.64 × 33,789.38
  4. Step 4: Simplify right side
    138,969.50x = 7,043,518,043.13
  5. Step 5: Solve for x
    x = 7,043,518,043.13/138,969.50
  6. Step 6: Final answer
    x = 50,683.91

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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.