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Finding the Fourth Proportional to 218,456.61, 327,812.27 and 92,089.11

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Solution

The fourth proportional to 218,456.61, 327,812.27 and 92,089.11 is: 138,187.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,456.61 : 327,812.27 = 92,089.11 : x
  2. Step 2: Convert to fraction form
    218,456.61/327,812.27 = 92,089.11/x
  3. Step 3: Cross multiply
    218,456.61x = 327,812.27 × 92,089.11
  4. Step 4: Simplify right side
    218,456.61x = 30,187,940,191.38
  5. Step 5: Solve for x
    x = 30,187,940,191.38/218,456.61
  6. Step 6: Final answer
    x = 138,187.35

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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.