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Finding the Fourth Proportional to 218,766.36, 327,891.56 and 98,682.74

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Solution

The fourth proportional to 218,766.36, 327,891.56 and 98,682.74 is: 147,907.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,766.36 : 327,891.56 = 98,682.74 : x
  2. Step 2: Convert to fraction form
    218,766.36/327,891.56 = 98,682.74/x
  3. Step 3: Cross multiply
    218,766.36x = 327,891.56 × 98,682.74
  4. Step 4: Simplify right side
    218,766.36x = 32,357,237,563.67
  5. Step 5: Solve for x
    x = 32,357,237,563.67/218,766.36
  6. Step 6: Final answer
    x = 147,907.74

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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.