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Finding the Fourth Proportional to 138,845.96, 208,269.01 and 33,664.93

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Solution

The fourth proportional to 138,845.96, 208,269.01 and 33,664.93 is: 50,497.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,845.96 : 208,269.01 = 33,664.93 : x
  2. Step 2: Convert to fraction form
    138,845.96/208,269.01 = 33,664.93/x
  3. Step 3: Cross multiply
    138,845.96x = 208,269.01 × 33,664.93
  4. Step 4: Simplify right side
    138,845.96x = 7,011,362,146.38
  5. Step 5: Solve for x
    x = 7,011,362,146.38/138,845.96
  6. Step 6: Final answer
    x = 50,497.41

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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.