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Finding the Fourth Proportional to 213,794.14, 320,593.05 and 61,956.70

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Solution

The fourth proportional to 213,794.14, 320,593.05 and 61,956.70 is: 92,906.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,794.14 : 320,593.05 = 61,956.70 : x
  2. Step 2: Convert to fraction form
    213,794.14/320,593.05 = 61,956.70/x
  3. Step 3: Cross multiply
    213,794.14x = 320,593.05 × 61,956.70
  4. Step 4: Simplify right side
    213,794.14x = 19,862,887,420.94
  5. Step 5: Solve for x
    x = 19,862,887,420.94/213,794.14
  6. Step 6: Final answer
    x = 92,906.60

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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.