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Finding the Fourth Proportional to 138,820.18, 208,230.81 and 33,638.98

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Solution

The fourth proportional to 138,820.18, 208,230.81 and 33,638.98 is: 50,458.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,820.18 : 208,230.81 = 33,638.98 : x
  2. Step 2: Convert to fraction form
    138,820.18/208,230.81 = 33,638.98/x
  3. Step 3: Cross multiply
    138,820.18x = 208,230.81 × 33,638.98
  4. Step 4: Simplify right side
    138,820.18x = 7,004,672,052.97
  5. Step 5: Solve for x
    x = 7,004,672,052.97/138,820.18
  6. Step 6: Final answer
    x = 50,458.60

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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.