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Finding the Fourth Proportional to 138,955.77, 208,433.66 and 33,774.57

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Solution

The fourth proportional to 138,955.77, 208,433.66 and 33,774.57 is: 50,661.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,955.77 : 208,433.66 = 33,774.57 : x
  2. Step 2: Convert to fraction form
    138,955.77/208,433.66 = 33,774.57/x
  3. Step 3: Cross multiply
    138,955.77x = 208,433.66 × 33,774.57
  4. Step 4: Simplify right side
    138,955.77x = 7,039,757,071.15
  5. Step 5: Solve for x
    x = 7,039,757,071.15/138,955.77
  6. Step 6: Final answer
    x = 50,661.86

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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.