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Finding the Fourth Proportional to 138,840.83, 208,261.93 and 33,659.80

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Solution

The fourth proportional to 138,840.83, 208,261.93 and 33,659.80 is: 50,489.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,840.83 : 208,261.93 = 33,659.80 : x
  2. Step 2: Convert to fraction form
    138,840.83/208,261.93 = 33,659.80/x
  3. Step 3: Cross multiply
    138,840.83x = 208,261.93 × 33,659.80
  4. Step 4: Simplify right side
    138,840.83x = 7,010,053,701.81
  5. Step 5: Solve for x
    x = 7,010,053,701.81/138,840.83
  6. Step 6: Final answer
    x = 50,489.86

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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.