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Finding the Fourth Proportional to 214,986.31, 322,609.11 and 74,843.35

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Solution

The fourth proportional to 214,986.31, 322,609.11 and 74,843.35 is: 112,310.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,986.31 : 322,609.11 = 74,843.35 : x
  2. Step 2: Convert to fraction form
    214,986.31/322,609.11 = 74,843.35/x
  3. Step 3: Cross multiply
    214,986.31x = 322,609.11 × 74,843.35
  4. Step 4: Simplify right side
    214,986.31x = 24,145,146,532.92
  5. Step 5: Solve for x
    x = 24,145,146,532.92/214,986.31
  6. Step 6: Final answer
    x = 112,310.16

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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.