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Finding the Fourth Proportional to 230,808.24, 346,251.24 and 106,146

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Solution

The fourth proportional to 230,808.24, 346,251.24 and 106,146 is: 159,236.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,808.24 : 346,251.24 = 106,146 : x
  2. Step 2: Convert to fraction form
    230,808.24/346,251.24 = 106,146/x
  3. Step 3: Cross multiply
    230,808.24x = 346,251.24 × 106,146
  4. Step 4: Simplify right side
    230,808.24x = 36,753,184,121.04
  5. Step 5: Solve for x
    x = 36,753,184,121.04/230,808.24
  6. Step 6: Final answer
    x = 159,236.88

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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.