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Finding the Fourth Proportional to 129,861.20, 194,937.60 and 100,409.60

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Solution

The fourth proportional to 129,861.20, 194,937.60 and 100,409.60 is: 150,727.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,861.20 : 194,937.60 = 100,409.60 : x
  2. Step 2: Convert to fraction form
    129,861.20/194,937.60 = 100,409.60/x
  3. Step 3: Cross multiply
    129,861.20x = 194,937.60 × 100,409.60
  4. Step 4: Simplify right side
    129,861.20x = 19,573,606,440.96
  5. Step 5: Solve for x
    x = 19,573,606,440.96/129,861.20
  6. Step 6: Final answer
    x = 150,727.13

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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.