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Finding the Fourth Proportional to 137,200.42, 189,276.51 and 80,586.28

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Solution

The fourth proportional to 137,200.42, 189,276.51 and 80,586.28 is: 111,173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,200.42 : 189,276.51 = 80,586.28 : x
  2. Step 2: Convert to fraction form
    137,200.42/189,276.51 = 80,586.28/x
  3. Step 3: Cross multiply
    137,200.42x = 189,276.51 × 80,586.28
  4. Step 4: Simplify right side
    137,200.42x = 15,253,089,832.28
  5. Step 5: Solve for x
    x = 15,253,089,832.28/137,200.42
  6. Step 6: Final answer
    x = 111,173.78

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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.