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Finding the Fourth Proportional to 103,293.88, 142,550.22 and 80,899

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Solution

The fourth proportional to 103,293.88, 142,550.22 and 80,899 is: 111,644.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,293.88 : 142,550.22 = 80,899 : x
  2. Step 2: Convert to fraction form
    103,293.88/142,550.22 = 80,899/x
  3. Step 3: Cross multiply
    103,293.88x = 142,550.22 × 80,899
  4. Step 4: Simplify right side
    103,293.88x = 11,532,170,247.78
  5. Step 5: Solve for x
    x = 11,532,170,247.78/103,293.88
  6. Step 6: Final answer
    x = 111,644.27

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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.