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Finding the Fourth Proportional to 126,274.16, 174,321.42 and 78,542.84

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Solution

The fourth proportional to 126,274.16, 174,321.42 and 78,542.84 is: 108,428.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,274.16 : 174,321.42 = 78,542.84 : x
  2. Step 2: Convert to fraction form
    126,274.16/174,321.42 = 78,542.84/x
  3. Step 3: Cross multiply
    126,274.16x = 174,321.42 × 78,542.84
  4. Step 4: Simplify right side
    126,274.16x = 13,691,699,399.63
  5. Step 5: Solve for x
    x = 13,691,699,399.63/126,274.16
  6. Step 6: Final answer
    x = 108,428.35

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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.