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Finding the Fourth Proportional to 231,761.80, 347,772.30 and 98,619.40

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Solution

The fourth proportional to 231,761.80, 347,772.30 and 98,619.40 is: 147,984.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,761.80 : 347,772.30 = 98,619.40 : x
  2. Step 2: Convert to fraction form
    231,761.80/347,772.30 = 98,619.40/x
  3. Step 3: Cross multiply
    231,761.80x = 347,772.30 × 98,619.40
  4. Step 4: Simplify right side
    231,761.80x = 34,297,095,562.62
  5. Step 5: Solve for x
    x = 34,297,095,562.62/231,761.80
  6. Step 6: Final answer
    x = 147,984.25

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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.