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Finding the Fourth Proportional to 214,722.82, 322,059.62 and 56,963.57

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Solution

The fourth proportional to 214,722.82, 322,059.62 and 56,963.57 is: 85,438.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,722.82 : 322,059.62 = 56,963.57 : x
  2. Step 2: Convert to fraction form
    214,722.82/322,059.62 = 56,963.57/x
  3. Step 3: Cross multiply
    214,722.82x = 322,059.62 × 56,963.57
  4. Step 4: Simplify right side
    214,722.82x = 18,345,665,708.04
  5. Step 5: Solve for x
    x = 18,345,665,708.04/214,722.82
  6. Step 6: Final answer
    x = 85,438.83

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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.