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Finding the Fourth Proportional to 135,057.30, 202,456.35 and 105,054.90

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Solution

The fourth proportional to 135,057.30, 202,456.35 and 105,054.90 is: 157,481.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,057.30 : 202,456.35 = 105,054.90 : x
  2. Step 2: Convert to fraction form
    135,057.30/202,456.35 = 105,054.90/x
  3. Step 3: Cross multiply
    135,057.30x = 202,456.35 × 105,054.90
  4. Step 4: Simplify right side
    135,057.30x = 21,269,031,603.62
  5. Step 5: Solve for x
    x = 21,269,031,603.62/135,057.30
  6. Step 6: Final answer
    x = 157,481.54

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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.