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Finding the Fourth Proportional to 214,097.48, 320,970.78 and 80,901.96

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Solution

The fourth proportional to 214,097.48, 320,970.78 and 80,901.96 is: 121,286.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,097.48 : 320,970.78 = 80,901.96 : x
  2. Step 2: Convert to fraction form
    214,097.48/320,970.78 = 80,901.96/x
  3. Step 3: Cross multiply
    214,097.48x = 320,970.78 × 80,901.96
  4. Step 4: Simplify right side
    214,097.48x = 25,967,165,204.73
  5. Step 5: Solve for x
    x = 25,967,165,204.73/214,097.48
  6. Step 6: Final answer
    x = 121,286.65

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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.