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Finding the Fourth Proportional to 137,378.16, 189,556.20 and 80,768.88

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Solution

The fourth proportional to 137,378.16, 189,556.20 and 80,768.88 is: 111,445.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,378.16 : 189,556.20 = 80,768.88 : x
  2. Step 2: Convert to fraction form
    137,378.16/189,556.20 = 80,768.88/x
  3. Step 3: Cross multiply
    137,378.16x = 189,556.20 × 80,768.88
  4. Step 4: Simplify right side
    137,378.16x = 15,310,241,971.06
  5. Step 5: Solve for x
    x = 15,310,241,971.06/137,378.16
  6. Step 6: Final answer
    x = 111,445.97

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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.