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Finding the Fourth Proportional to 129,427.56, 194,188.05 and 45,200.12

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Solution

The fourth proportional to 129,427.56, 194,188.05 and 45,200.12 is: 67,816.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,427.56 : 194,188.05 = 45,200.12 : x
  2. Step 2: Convert to fraction form
    129,427.56/194,188.05 = 45,200.12/x
  3. Step 3: Cross multiply
    129,427.56x = 194,188.05 × 45,200.12
  4. Step 4: Simplify right side
    129,427.56x = 8,777,322,191.63
  5. Step 5: Solve for x
    x = 8,777,322,191.63/129,427.56
  6. Step 6: Final answer
    x = 67,816.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.