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Finding the Fourth Proportional to 101,546.68, 152,098.22 and 42,202.44

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Solution

The fourth proportional to 101,546.68, 152,098.22 and 42,202.44 is: 63,211.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,546.68 : 152,098.22 = 42,202.44 : x
  2. Step 2: Convert to fraction form
    101,546.68/152,098.22 = 42,202.44/x
  3. Step 3: Cross multiply
    101,546.68x = 152,098.22 × 42,202.44
  4. Step 4: Simplify right side
    101,546.68x = 6,418,916,003.66
  5. Step 5: Solve for x
    x = 6,418,916,003.66/101,546.68
  6. Step 6: Final answer
    x = 63,211.48

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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.