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Finding the Fourth Proportional to 230,809.24, 346,252.74 and 106,147

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Solution

The fourth proportional to 230,809.24, 346,252.74 and 106,147 is: 159,238.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,809.24 : 346,252.74 = 106,147 : x
  2. Step 2: Convert to fraction form
    230,809.24/346,252.74 = 106,147/x
  3. Step 3: Cross multiply
    230,809.24x = 346,252.74 × 106,147
  4. Step 4: Simplify right side
    230,809.24x = 36,753,689,592.78
  5. Step 5: Solve for x
    x = 36,753,689,592.78/230,809.24
  6. Step 6: Final answer
    x = 159,238.38

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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.