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Finding the Fourth Proportional to 218,468.66, 327,830.37 and 92,101.17

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Solution

The fourth proportional to 218,468.66, 327,830.37 and 92,101.17 is: 138,205.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,468.66 : 327,830.37 = 92,101.17 : x
  2. Step 2: Convert to fraction form
    218,468.66/327,830.37 = 92,101.17/x
  3. Step 3: Cross multiply
    218,468.66x = 327,830.37 × 92,101.17
  4. Step 4: Simplify right side
    218,468.66x = 30,193,560,178.03
  5. Step 5: Solve for x
    x = 30,193,560,178.03/218,468.66
  6. Step 6: Final answer
    x = 138,205.45

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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.