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Finding the Fourth Proportional to 205,354.20, 308,026.98 and 94,546.20

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Solution

The fourth proportional to 205,354.20, 308,026.98 and 94,546.20 is: 141,817.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,354.20 : 308,026.98 = 94,546.20 : x
  2. Step 2: Convert to fraction form
    205,354.20/308,026.98 = 94,546.20/x
  3. Step 3: Cross multiply
    205,354.20x = 308,026.98 × 94,546.20
  4. Step 4: Simplify right side
    205,354.20x = 29,122,780,456.48
  5. Step 5: Solve for x
    x = 29,122,780,456.48/205,354.20
  6. Step 6: Final answer
    x = 141,817.31

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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.