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Finding the Fourth Proportional to 138,810.69, 208,215.33 and 33,629.67

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Solution

The fourth proportional to 138,810.69, 208,215.33 and 33,629.67 is: 50,444.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,810.69 : 208,215.33 = 33,629.67 : x
  2. Step 2: Convert to fraction form
    138,810.69/208,215.33 = 33,629.67/x
  3. Step 3: Cross multiply
    138,810.69x = 208,215.33 × 33,629.67
  4. Step 4: Simplify right side
    138,810.69x = 7,002,212,836.84
  5. Step 5: Solve for x
    x = 7,002,212,836.84/138,810.69
  6. Step 6: Final answer
    x = 50,444.33

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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.