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Finding the Fourth Proportional to 218,281.89, 327,422.93 and 98,198.58

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Solution

The fourth proportional to 218,281.89, 327,422.93 and 98,198.58 is: 147,297.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,281.89 : 327,422.93 = 98,198.58 : x
  2. Step 2: Convert to fraction form
    218,281.89/327,422.93 = 98,198.58/x
  3. Step 3: Cross multiply
    218,281.89x = 327,422.93 × 98,198.58
  4. Step 4: Simplify right side
    218,281.89x = 32,152,466,785.44
  5. Step 5: Solve for x
    x = 32,152,466,785.44/218,281.89
  6. Step 6: Final answer
    x = 147,297.91

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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.