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Finding the Fourth Proportional to 218,294.22, 327,566.88 and 91,924.50

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Solution

The fourth proportional to 218,294.22, 327,566.88 and 91,924.50 is: 137,939.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,294.22 : 327,566.88 = 91,924.50 : x
  2. Step 2: Convert to fraction form
    218,294.22/327,566.88 = 91,924.50/x
  3. Step 3: Cross multiply
    218,294.22x = 327,566.88 × 91,924.50
  4. Step 4: Simplify right side
    218,294.22x = 30,111,421,660.56
  5. Step 5: Solve for x
    x = 30,111,421,660.56/218,294.22
  6. Step 6: Final answer
    x = 137,939.62

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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.