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Finding the Fourth Proportional to 200,999.80, 301,062.30 and 174,755.80

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Solution

The fourth proportional to 200,999.80, 301,062.30 and 174,755.80 is: 261,753.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,999.80 : 301,062.30 = 174,755.80 : x
  2. Step 2: Convert to fraction form
    200,999.80/301,062.30 = 174,755.80/x
  3. Step 3: Cross multiply
    200,999.80x = 301,062.30 × 174,755.80
  4. Step 4: Simplify right side
    200,999.80x = 52,612,383,086.34
  5. Step 5: Solve for x
    x = 52,612,383,086.34/200,999.80
  6. Step 6: Final answer
    x = 261,753.41

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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.