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Finding the Fourth Proportional to 214,522.56, 321,773.76 and 72,358.56

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Solution

The fourth proportional to 214,522.56, 321,773.76 and 72,358.56 is: 108,534.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,522.56 : 321,773.76 = 72,358.56 : x
  2. Step 2: Convert to fraction form
    214,522.56/321,773.76 = 72,358.56/x
  3. Step 3: Cross multiply
    214,522.56x = 321,773.76 × 72,358.56
  4. Step 4: Simplify right side
    214,522.56x = 23,283,085,919.39
  5. Step 5: Solve for x
    x = 23,283,085,919.39/214,522.56
  6. Step 6: Final answer
    x = 108,534.44

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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.