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Finding the Fourth Proportional to 138,852.56, 208,278.86 and 33,671.49

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Solution

The fourth proportional to 138,852.56, 208,278.86 and 33,671.49 is: 50,507.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,852.56 : 208,278.86 = 33,671.49 : x
  2. Step 2: Convert to fraction form
    138,852.56/208,278.86 = 33,671.49/x
  3. Step 3: Cross multiply
    138,852.56x = 208,278.86 × 33,671.49
  4. Step 4: Simplify right side
    138,852.56x = 7,013,059,383.34
  5. Step 5: Solve for x
    x = 7,013,059,383.34/138,852.56
  6. Step 6: Final answer
    x = 50,507.24

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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.