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Finding the Fourth Proportional to 138,840.33, 208,261.18 and 33,659.30

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Solution

The fourth proportional to 138,840.33, 208,261.18 and 33,659.30 is: 50,489.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,840.33 : 208,261.18 = 33,659.30 : x
  2. Step 2: Convert to fraction form
    138,840.33/208,261.18 = 33,659.30/x
  3. Step 3: Cross multiply
    138,840.33x = 208,261.18 × 33,659.30
  4. Step 4: Simplify right side
    138,840.33x = 7,009,924,737.90
  5. Step 5: Solve for x
    x = 7,009,924,737.90/138,840.33
  6. Step 6: Final answer
    x = 50,489.11

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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.