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Finding the Fourth Proportional to 138,790.83, 208,185.51 and 33,609.79

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Solution

The fourth proportional to 138,790.83, 208,185.51 and 33,609.79 is: 50,414.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,790.83 : 208,185.51 = 33,609.79 : x
  2. Step 2: Convert to fraction form
    138,790.83/208,185.51 = 33,609.79/x
  3. Step 3: Cross multiply
    138,790.83x = 208,185.51 × 33,609.79
  4. Step 4: Simplify right side
    138,790.83x = 6,997,071,272.14
  5. Step 5: Solve for x
    x = 6,997,071,272.14/138,790.83
  6. Step 6: Final answer
    x = 50,414.51

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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.