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Finding the Fourth Proportional to 138,852.61, 208,278.91 and 33,671.58

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Solution

The fourth proportional to 138,852.61, 208,278.91 and 33,671.58 is: 50,507.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,852.61 : 208,278.91 = 33,671.58 : x
  2. Step 2: Convert to fraction form
    138,852.61/208,278.91 = 33,671.58/x
  3. Step 3: Cross multiply
    138,852.61x = 208,278.91 × 33,671.58
  4. Step 4: Simplify right side
    138,852.61x = 7,013,079,537.10
  5. Step 5: Solve for x
    x = 7,013,079,537.10/138,852.61
  6. Step 6: Final answer
    x = 50,507.37

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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.