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Finding the Fourth Proportional to 172,097.64, 237,399.12 and 159,919.83

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Solution

The fourth proportional to 172,097.64, 237,399.12 and 159,919.83 is: 220,600.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,097.64 : 237,399.12 = 159,919.83 : x
  2. Step 2: Convert to fraction form
    172,097.64/237,399.12 = 159,919.83/x
  3. Step 3: Cross multiply
    172,097.64x = 237,399.12 × 159,919.83
  4. Step 4: Simplify right side
    172,097.64x = 37,964,826,912.55
  5. Step 5: Solve for x
    x = 37,964,826,912.55/172,097.64
  6. Step 6: Final answer
    x = 220,600.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.