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Finding the Fourth Proportional to 137,789.86, 190,137.60 and 80,434.16

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Solution

The fourth proportional to 137,789.86, 190,137.60 and 80,434.16 is: 110,991.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,789.86 : 190,137.60 = 80,434.16 : x
  2. Step 2: Convert to fraction form
    137,789.86/190,137.60 = 80,434.16/x
  3. Step 3: Cross multiply
    137,789.86x = 190,137.60 × 80,434.16
  4. Step 4: Simplify right side
    137,789.86x = 15,293,558,140.42
  5. Step 5: Solve for x
    x = 15,293,558,140.42/137,789.86
  6. Step 6: Final answer
    x = 110,991.90

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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.