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Finding the Fourth Proportional to 273,808.96, 410,815.36 and 167,410.96

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Solution

The fourth proportional to 273,808.96, 410,815.36 and 167,410.96 is: 251,178.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,808.96 : 410,815.36 = 167,410.96 : x
  2. Step 2: Convert to fraction form
    273,808.96/410,815.36 = 167,410.96/x
  3. Step 3: Cross multiply
    273,808.96x = 410,815.36 × 167,410.96
  4. Step 4: Simplify right side
    273,808.96x = 68,774,993,800.35
  5. Step 5: Solve for x
    x = 68,774,993,800.35/273,808.96
  6. Step 6: Final answer
    x = 251,178.76

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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.