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Finding the Fourth Proportional to 214,671.72, 322,098.70 and 114,806

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Solution

The fourth proportional to 214,671.72, 322,098.70 and 114,806 is: 172,257.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,671.72 : 322,098.70 = 114,806 : x
  2. Step 2: Convert to fraction form
    214,671.72/322,098.70 = 114,806/x
  3. Step 3: Cross multiply
    214,671.72x = 322,098.70 × 114,806
  4. Step 4: Simplify right side
    214,671.72x = 36,978,863,352.20
  5. Step 5: Solve for x
    x = 36,978,863,352.20/214,671.72
  6. Step 6: Final answer
    x = 172,257.73

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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.