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Finding the Fourth Proportional to 138,965.48, 208,323.51 and 50,198.19

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Solution

The fourth proportional to 138,965.48, 208,323.51 and 50,198.19 is: 75,252.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,965.48 : 208,323.51 = 50,198.19 : x
  2. Step 2: Convert to fraction form
    138,965.48/208,323.51 = 50,198.19/x
  3. Step 3: Cross multiply
    138,965.48x = 208,323.51 × 50,198.19
  4. Step 4: Simplify right side
    138,965.48x = 10,457,463,136.45
  5. Step 5: Solve for x
    x = 10,457,463,136.45/138,965.48
  6. Step 6: Final answer
    x = 75,252.24

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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.