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Finding the Fourth Proportional to 129,299.20, 193,953.36 and 35,812

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Solution

The fourth proportional to 129,299.20, 193,953.36 and 35,812 is: 53,719.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,299.20 : 193,953.36 = 35,812 : x
  2. Step 2: Convert to fraction form
    129,299.20/193,953.36 = 35,812/x
  3. Step 3: Cross multiply
    129,299.20x = 193,953.36 × 35,812
  4. Step 4: Simplify right side
    129,299.20x = 6,945,857,728.32
  5. Step 5: Solve for x
    x = 6,945,857,728.32/129,299.20
  6. Step 6: Final answer
    x = 53,719.26

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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.