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Finding the Fourth Proportional to 206,825.80, 310,296.30 and 101,648.20

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Solution

The fourth proportional to 206,825.80, 310,296.30 and 101,648.20 is: 152,500.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,825.80 : 310,296.30 = 101,648.20 : x
  2. Step 2: Convert to fraction form
    206,825.80/310,296.30 = 101,648.20/x
  3. Step 3: Cross multiply
    206,825.80x = 310,296.30 × 101,648.20
  4. Step 4: Simplify right side
    206,825.80x = 31,541,060,361.66
  5. Step 5: Solve for x
    x = 31,541,060,361.66/206,825.80
  6. Step 6: Final answer
    x = 152,500.61

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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.