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Finding the Fourth Proportional to 137,095.39, 189,190.34 and 76,665.34

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Solution

The fourth proportional to 137,095.39, 189,190.34 and 76,665.34 is: 105,797.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,095.39 : 189,190.34 = 76,665.34 : x
  2. Step 2: Convert to fraction form
    137,095.39/189,190.34 = 76,665.34/x
  3. Step 3: Cross multiply
    137,095.39x = 189,190.34 × 76,665.34
  4. Step 4: Simplify right side
    137,095.39x = 14,504,340,884.51
  5. Step 5: Solve for x
    x = 14,504,340,884.51/137,095.39
  6. Step 6: Final answer
    x = 105,797.44

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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.