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Finding the Fourth Proportional to 100,542.23, 138,749.84 and 55,222.05

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Solution

The fourth proportional to 100,542.23, 138,749.84 and 55,222.05 is: 76,207.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,542.23 : 138,749.84 = 55,222.05 : x
  2. Step 2: Convert to fraction form
    100,542.23/138,749.84 = 55,222.05/x
  3. Step 3: Cross multiply
    100,542.23x = 138,749.84 × 55,222.05
  4. Step 4: Simplify right side
    100,542.23x = 7,662,050,601.97
  5. Step 5: Solve for x
    x = 7,662,050,601.97/100,542.23
  6. Step 6: Final answer
    x = 76,207.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.