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Finding the Fourth Proportional to 205,985.80, 308,978.70 and 73,016.20

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Solution

The fourth proportional to 205,985.80, 308,978.70 and 73,016.20 is: 109,524.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,985.80 : 308,978.70 = 73,016.20 : x
  2. Step 2: Convert to fraction form
    205,985.80/308,978.70 = 73,016.20/x
  3. Step 3: Cross multiply
    205,985.80x = 308,978.70 × 73,016.20
  4. Step 4: Simplify right side
    205,985.80x = 22,560,450,554.94
  5. Step 5: Solve for x
    x = 22,560,450,554.94/205,985.80
  6. Step 6: Final answer
    x = 109,524.30

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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.