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Finding the Fourth Proportional to 138,980.49, 208,470.74 and 33,799.16

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Solution

The fourth proportional to 138,980.49, 208,470.74 and 33,799.16 is: 50,698.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,980.49 : 208,470.74 = 33,799.16 : x
  2. Step 2: Convert to fraction form
    138,980.49/208,470.74 = 33,799.16/x
  3. Step 3: Cross multiply
    138,980.49x = 208,470.74 × 33,799.16
  4. Step 4: Simplify right side
    138,980.49x = 7,046,134,685.23
  5. Step 5: Solve for x
    x = 7,046,134,685.23/138,980.49
  6. Step 6: Final answer
    x = 50,698.73

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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.