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Finding the Fourth Proportional to 137,966.34, 190,394.31 and 80,609.03

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Solution

The fourth proportional to 137,966.34, 190,394.31 and 80,609.03 is: 111,240.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,966.34 : 190,394.31 = 80,609.03 : x
  2. Step 2: Convert to fraction form
    137,966.34/190,394.31 = 80,609.03/x
  3. Step 3: Cross multiply
    137,966.34x = 190,394.31 × 80,609.03
  4. Step 4: Simplify right side
    137,966.34x = 15,347,500,646.62
  5. Step 5: Solve for x
    x = 15,347,500,646.62/137,966.34
  6. Step 6: Final answer
    x = 111,240.91

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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.