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Finding the Fourth Proportional to 273,921.12, 410,143.32 and 178,916.04

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Solution

The fourth proportional to 273,921.12, 410,143.32 and 178,916.04 is: 267,891.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,921.12 : 410,143.32 = 178,916.04 : x
  2. Step 2: Convert to fraction form
    273,921.12/410,143.32 = 178,916.04/x
  3. Step 3: Cross multiply
    273,921.12x = 410,143.32 × 178,916.04
  4. Step 4: Simplify right side
    273,921.12x = 73,381,218,646.85
  5. Step 5: Solve for x
    x = 73,381,218,646.85/273,921.12
  6. Step 6: Final answer
    x = 267,891.79

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Why These Related Problems?

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